# Evaluate the following limits in Exercises 1 to 22: limₓ→₁ (ax² + bx + c)/(cx² + bx + a), a + b + c ≠ 0

**Solution:**

We will evaluate the given limit by substituting x = 1 in the given expression.

limₓ→₁ (ax^{2} + bx + c)/(cx^{2} + bx + a) = limₓ→₁ (a(1)^{2} + b(1) + c)/(c(1)^{2} + b(1) + a)

= (a + b + c)/(a + b + c)

= 1 [a + b + c ≠ 0]

NCERT Solutions Class 11 Maths Chapter 13 Exercise 13.1 Question 11

## Evaluate the following limits in Exercises 1 to 22: limₓ→₁ (ax² + bx + c)/(cx² + bx + a), a + b + c ≠ 0

**Summary:**

The value of the limit limₓ→₁ (ax^{2} + bx + c)/(cx^{2} + bx + a), a + b + c ≠ 0 is 1 [a + b + c ≠ 0]