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Worksheets of Limits of a function in Calculus

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

  • 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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  • 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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