Question

A line y=b is a horizontal asymptote of the graph of a function y = f(x) if : (A) lim f(x) = b --> (B) lim f(x)=0 パーライン (C) lim f(x)+ b X-8 (D) None of these​

Answer 1

Answer:

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Answer 2

Given :

A line y=b is a horizontal asymptote of the graph of a function y = f(x)

To Find : $\lim_{x \to \infty} f(x)$

Solution :

An asymptote is a line that the graph of the function approaches.

If $\lim_{x \to \infty} f(x)=c$  or  $\lim_{x \to -\infty} f(x)=c$

then y = c is the horizontal asymptote

A line y=b is a horizontal asymptote of the graph of a function y = f(x)

so  Either

$\lim_{x \to \infty} f(x)=b$  or  $\lim_{x \to -\infty} f(x)=b$

Hence  $\lim_{x \to \infty} f(x)= b$  is the right answer.

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