# The Value of Lim X → ∞ √ 1 + X 4 + ( 1 + X 2 ) X 2 is - Mathematics

MCQ

The value of $\lim_{x \to \infty} \frac{\sqrt{1 + x^4} + \left( 1 + x^2 \right)}{x^2}$  is

#### Options

• −1

•  1

• none of these

#### Solution

2

$\lim_{x \to \infty} \frac{\sqrt{1 + x^4} + \left( 1 + x^2 \right)}{x^2}$
$= \lim_{x \to \infty} \sqrt{\frac{1}{x^4} + 1} + \frac{1}{x^2} + 1$
$= 2$

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 29 Limits
Q 19 | Page 79

Share