Question Detail

MTH 102 Limits Objective Question

Question

Evaluate the limit of \( \frac{e^x - e^{-x}}{2} \) as \( x \) tends to 0.
Options
A 1
B 0
Correct Answer
C \(\frac{1}{2}\)
D e
Correct Answer

Option B is the correct answer.

Detailed Explanation

Direct substitution: ( \frac{1 - 1}{2} = 0 ).

Hint

Hyperbolic sine definition.

Question Info