If
then the values of a and b are

Question

Question

This question was previously asked in

BPSC Assistant Professor Mechanical 2022 Official Paper

Answer 1

Concept:

L-Hospital Rule: Let f(x) and g(x) be two functions

Suppose that we have one of the following cases,

I.

II.

Then we can apply L-Hospital Rule ⇔

Calculation:

Given:

is 0/0 form

Applying L-Hospital rule:

⇒

To satisfy limit, 1 + a - b = 0

⇒ a + 1 = b ................................................................ (1)

Applying L-Hospital rule again:

⇒

To satisfy limit, ...............................(2)

Solving (1) and (2)

a = , b =