Limits by the conjugate Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/calculus/limits-by-the-conjugate/quiz/

1. 1

   Find lim x->4 √x − 2x − 4
   1. A) 14
   2. B) 1
   3. C) −14
   4. D) 0

2. 2

   Find lim x->1 √x − 1x − 1

   Answer: ____________________

3. 3

   Find lim x->16 4 − √xx − 16
   1. A) −18
   2. B) 18
   3. C) 0
   4. D) 1

4. 4

   Find lim x->9 x − 9√x − 3

   Answer: ____________________

5. 5

   Find the limit as x -> 4 of (√(x + 5) − 3)/(x − 4).
   1. A) 1
   2. B) 0
   3. C) −16
   4. D) 16

6. 6

   Find lim x->0 (√(2x + 9) − 3)/x

   Answer: ____________________

7. 7

   Find lim x->0 x/(√(x + 4) − 2)
   1. A) 4
   2. B) −4
   3. C) 1
   4. D) 0

8. 8

   Find lim x->3 (√(3x + 7) − 4)/(x − 3)

   Answer: ____________________

9. 9

   Find lim x->8 (√(x + 1) − 3)/(16 − 2x)
   1. A) 1
   2. B) −112
   3. C) 0
   4. D) 112

10. 10

    Find lim x->6 (x − 6)/(2 − √(x − 2))

    Answer: ____________________