Question Detail

MTH 102 Limits Objective Question

Question

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

Option C is the correct answer.

Detailed Explanation

Using L'Hospital's rule, the derivative of ( e^{2-x} - 1 ) is ( -e^{2-x} ). At ( x=2 ), this is ( -1 ).

Hint

Exercise 1.1, Question 10.

Question Info