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# Root Law of Limit worksheet

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) =?
1. √3 (1 + 3√3)
2. 2√3
3. -1
4. √3 - 1
• 2. Evaluate the expression shown below using root law of limits lim x->√5  (x+ 6x + 9) / (x + 3) = ?
1. 5
2. √5 + 3
3. √5
4. 2
• 3. Evaluate the expression shown below using root law of limits lim x->√7  (x+ 10x + 24) / (x + 6)=?
1. 2√7 +3
2. 3
3. √7 + 4
4. √7
• 4. Evaluate the expression using root law of limits lim x->√7 (x2 + 20x + 36) / (x + 2)  = ?
1. 2√7 + 3
2. (√7 + 18)
3. √7
4. √7 + 3
• 5. Evaluate the expression using root law of limits lim x->√7 (x2 + 7x + 10) / (x + 3) = ?
1. √7(1 + √7)
2. √7
3. 2√7 + 3
4. √7 + 3
• 6. Evaluate the expression using root law of limits lim  x->√5 (x2 + 4x +4)/ (x + 2) =?
1. √5 + 2
2. √5
3. 2
• 7. Evaluate the given expression using root law of limit lim x->√3  (2x+ 4x + 5) / (x + 5) = ?
1. 2√3  - 1
2. 2√3
3. -1
4. √3 - 1
• 8. Evaluate the given expression using root law of limit lim x->√7  (x2 + 8x + 15) / (x + 5) = ?
1. 2√7 +3
2. 3
3. √7 + 3
4. √7
• 9. Evaluate the given expression using root law of limit lim x->√7  (x3 - 3x2 +3x - 1) / (x - 1) =?
1. √7
2. 2√7 +  3
3. √7  +  3
4. 2(2√7 + 3)
• 10. Evaluate the expression using root law of limits lim x->√7  (x+ 5x2 - 11x + 1) / (x - 1)= ?
1. √7
2. √7 + 3
3. 2√7 + 1
4. 2(3√7 + 4)
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