EXAM QUESTIONS (only) LATEST
SOLUTIONS ACCURATE AND RATED A
(2025-2026).
, 1. (2 pts) Find f (x) if f (x) = 2x5 + 3 + e2 . Your answer: f (x) = .
x
(Question 1 will be marked right or wrong.)
ln(3 + h) − ln 3
2. (a) (2 pts) Fill in the indicated blanks. The limit, lim , represents the derivative of
h h→0
some function f at some number a. Find such a function f and a number a.
Your answer: f (x) = , and a = .
(b) (1 pt) Hence, evaluate the limit given in part (a). Your answer: The value of the limit is .
(Each box in Question 2 will be marked right or wrong.)
2x3 − 5x
3. (2 pts) Evaluate the limit without using L’Hospital’s Rule: lim
x→0 sin(6x)