Evaluate the following limits in Exercises 1 to 22: limₓ→₋₂ (1/x + 1/2)/(x + 2)

Solution:

At x = -2, the value of the given function takes the form 0/0, which is an indeterminate form.

So we will evaluate the given limit differently.

Now,

limₓ→₋₂ (1/x + 1/2)/(x + 2) = limₓ→₋₂ [(2 + x)/(2x)] / (x + 2)

= limₓ→₋₂ (1/(2x))

= 1/(2 (- 2))

= - 1/4

NCERT Solutions Class 11 Maths Chapter 13 Exercise 13.1 Question 12

Evaluate the following limits in Exercises 1 to 22: limₓ→₋₂ (1/x + 1/2)/(x + 2)

Summary:

The value of the limit limₓ→₋₂ (1/x + 1/2)/(x + 2) is -1/4