Question

Evaluate \(\lim_{x \to +\infty} \frac{x}{\sqrt{x^2 + 1000}}\)

• A. 0
• B. 1
• C. \(\infty\)
• D. 1/2

Hint:

For limits at infinity of algebraic functions, you can ignore the lower-power constant terms.
\[ \lim_{x \to \infty} \frac{x}{\sqrt{x^2 + 1000}} \approx \lim_{x \to \infty} \frac{x}{\sqrt{x^2}} = \lim_{x \to \infty} \frac{x}{x} = 1 \]
This gives the answer in seconds.

Answer 1

The Correct Option is B