1225FormA

13. Evaluate the following limit for fixed x > 0:

lim h → 0 p

( x + h ) 2 + 2( x + h ) − √ x 2 + 2 x h

(A) The limit does not exist.

1 2 √ x 2 + 2 x

(B)

(C) √ 2 x + 2

x + 1 √ x 2 + 2 x

(D)

14. Consider the graph of y = f ( x ) below.

y

6

5

y = f ( x )

4

3

2

1

x

1 2 3 4 5 6

Choose the largest value of δ > 0 such that the following statement is true.

If 0 < | x − 4 | < δ , then | f ( x ) − 2 | < 1.

(A) No such value of δ exists. (B) 0.25

(C) 0.5 (D) 1.5

Page 7 of 7 — Form A