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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

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Solution

 2 

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

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APPEARS IN

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