Given thatlimx+f(x) = 2 and lim x+g(x) = 3find the limits that exist.(a) lim x+[3f(x)

Chapter 1, Problem 3

(choose chapter or problem)

Given that

\(\lim _{x \rightarrow+\infty} f(x)=2 \text { and } \lim _{x \rightarrow+\infty} g(x)=-3\)

find the limits that exist.

(a)\(\lim _{x \rightarrow+\infty}[3 f(x)-g(x)]=\) ______

(b)\(\lim _{x \rightarrow+\infty} \frac{f(x)}{g(x)}=\) ______

(c)\(\lim _{x \rightarrow+\infty} \frac{2 f(x)+3 g(x)}{3 f(x)+2 g(x)}=\) ______

(d)\(\lim _{x \rightarrow+\infty} \sqrt{10-f(x) g(x)}=\) ______

Equation Transcription:

Text Transcription:

Lim_x right arrow +infinity (fx)=2 and Lim_x right arrow +infinity g(x) = -3

Lim_x right arrow +infinity[3f(x)-g(x)]=

Lim_x right arrow +infinity f(x)/g(x) =

Lim_x right arrow +infinity 2f(x)+3g(x)/3f(x)+2g(x) =

Lim_x right arrow +infinity √10-f(x)g(x) =