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Worksheets of Limits in calculus

Test your skills on Limits in calculus by trying out Limits in calculus worksheets. 14 Limits in calculus worksheets available to gain expertise and excel in your grades. The worksheets on Limits in calculus have been designed to offer a wide range of questions covering all details of the Limits in calculus and are in compliance with the k-12 curriculum. Detailed answers will be provided after you have attempted the Limits in calculus worksheet. Each worksheet will have around 10 questions and there are multiple worksheets available to try out.

  • Continuity of function of two or more variable worksheet

    1. Determine the continuity point where the function f(m,n) = 5m+3n,  m≤-1, n≤1 is the continuous?
      • m = 1, n=2
      • m = 4, n = 4
      • m = 0, n=2
      • m = -2, n=-1
    2. Determine the continuity point where the function f(m, n) = 6m-8n,  m≤-1, n≤-4 is the continuous?
      • m = 0, n = -2
      • m = 4, n = 5
      • m = -3, n=-4
      • m = 1, n = 5 
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  • Continuity of function of one variable worksheet

    1. Calculate the continuity point where the function f(p) = 5p + 3, p ≤ 5 is the continuous?
      • p = 7
      • p= 4
      • p = 6
      • p = 8
    2. Calculate the continuity point where the function f(p) = 4p-2,  p≤4 is the continuous?
      • p = 5
      • p = 7
      • p = 9
      • p = 3
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  • Continuity of function in Calculus worksheet

    1. Find the point where the function f (z) = 2z+3, z≤ -4 is the continuous?
      • z = -2
      • z = -4
      • z = 5
      • z = 3
    2. Find the point where the function f(z) = 3z-8 , z≤3 is the continuous?
      • z = 3
      • z = 8
      • z = 5
      • z = 7
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  • Constant Law of Limit Worksheet

    1. Using constant law of limit solve the given problem, «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»lim«/mi»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»7«/mn»«/mrow»«/msub»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»§nbsp;«/mo»«mo»+«/mo»«mo»§nbsp;«/mo»«mn»8«/mn»«mi»x«/mi»«mo»§nbsp;«/mo»«mo»+«/mo»«mo»§nbsp;«/mo»«mn»15«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»§nbsp;«/mo»«mo»+«/mo»«mo»§nbsp;«/mo»«mn»5«/mn»«/mrow»«/mfrac»«/math»?
      • 5
      • 7
      • 10
      • 25
    2. Using the constant law solve the given problem «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»lim«/mi»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»3«/mn»«/mrow»«/msub»«mfrac»«mrow»«mn»5«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»§nbsp;«/mo»«mo»+«/mo»«mo»§nbsp;«/mo»«mn»4«/mn»«mi»x«/mi»«mo»§nbsp;«/mo»«mo»-«/mo»«mo»§nbsp;«/mo»«mn»9«/mn»«/mrow»«mrow»«mn»5«/mn»«mi»x«/mi»«mo»§nbsp;«/mo»«mo»+«/mo»«mo»§nbsp;«/mo»«mn»9«/mn»«/mrow»«/mfrac»«/math»?
      • 2
      • 1.5
      • -7
      • 2.5
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  • Subtraction law of limit worksheet

    1. Evaluate the limit limx→3[x+5], using the subtraction law?

      • -2
      • 2
      • 3
      • 4

    2. Find the value of given function limx→0[1+4x], using the subtraction law?

      • 1
      • -1
      • 2
      • -2
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  • Addition law of Limit worksheet

    1. Find the sum of limit using addition law where limit expression is Lim x→2 [x - 12]?
      • 3
      • -6
      • -10
      • 10
    2. Find the sum of limit using addition law of limit, where limit is given as: Lim x→3 [2x2 + 18x]?
      • 72
      • -72
      • -70
      • 70
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  • Worksheet on Laws of Limit

    1. Solve this limit by the addition law of limits, Lim x→5 (x + 2)?

       

      • 6
      • 7
      • 5
      • 8

    2. Solve the given problem using quotient law, Lim x→2 x2 -4 /x2 +x -6?

      • 0
      • 2
      • 4/5
      • 3/2
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  • Multiplication Laws of Limit worksheet

    1. Find the solution of the given problem using, multiplication law of limit, where limit expression is Lim x→3 [(x -5) (x -12)]?
      • 18
      • 12
      • 13
      • 10
    2. Find the solution of the given problem using multiplication law of limit, where Lim x→3 [(x2 +1) (x)]?
      • 24
      • 29
      • 30
      • 34
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  • Discontinuity of function in Calculus Worksheet

    1. Determine the discontinuity point where the function f(m) = 5m + 8 at m ≤ -3 not continuous?
      • m = -2
      • m = -8
      • m = -5
      • m = 3
    2. Determine the discontinuity point where the function f(m) = 3m+3  at m ≤ 3 not continuous?
      • m = 2
      • m = 8
      • m = -5
      • m = -6
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  • Composition Law of Limit worksheet

    1. Evaluate the limit g(x)= 3x and h(x)=4(x), using the composition law of limit where the value of limit x = 2?

      • 48
      • -11
      • -44
      • 11

    2. Find g(x)=limx→0[2x] and h(x)= limx→2[1], using composition law of limit?

      • 0
      • 1
      • 3
      • 4
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  • Squeeze Law of Limit worksheet

    1. Solve this using squeeze law of limit Lim x→ ∞     cosx/x?
      • 1
      • 2
      • 0
      • cos x
    2. Solve Lim x→ ∞ 3- sinx / x+3, using squeeze law of limit?
      • 0
      • 1
      • 3
      • 4
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  • Root Law of Limit worksheet

    1. Evaluate the expression shown below using root law of limit where lim x->√3  (x2 + 11x + 18) / (x + 2) =?
      • √3 (1 + 3√3)
      • 2√3
      • -1
      • √3 - 1
    2. Evaluate the expression shown below using root law of limits lim x->√5  (x2 + 6x + 9) / (x + 3) = ? 
      • 5
      • √5 + 3
      • √5                  
      • 2
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  • Power Law of Limit worksheet

    1. Evaluate the given expression  using  power law of limit, where limit expression is Lim x→3 (x + 7)2?
      • 100
      • 150
      • 200
      • 175
    2. Evaluate the given expression using power law of limit. Where limit is Lim x→3 (5x2 +1)2?
      • 2166
      • 2162
      • 2116
      • 2161
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  • Division Law of Limit worksheet

    1. Solve this limit by the Division law of limits Lim x→5     (x + 2)/(x+7)?

      • 6/7
      • 7/12
      • 5/9
      • 8/13

    2. Solve this using division law Lim x→2     x2 -4 /x -2?

      • 4
      • 3/2
      • 2/3
      • 2
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