Suppose and Find

Chapter 2, Problem 53E

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QUESTION:

Suppose \(\lim _{x \rightarrow c} f(x)=5\) and \(\lim _{x \rightarrow c} g(x)=-2\). Find

a. \(\lim _{x \rightarrow c} f(x) g(x)\)  

b. \(\lim _{x \rightarrow c} 2 f(x) g(x)\)

c. \(\lim _{x \rightarrow c}(f(x)+3 g(x))\)

D. \(\lim _{x \rightarrow c} \frac{f(x)}{f(x)-g(x)}\)

Equation Transcription:

Text Transcription:

Lim_x right arrow c f(x)=5

Lim_x right arrow c g(x)=-2

Lim_x right arrow c f(x) g(x)

Lim_x right arrow c f(x)+ 3g(x))

Lim_x right arrow c f(x)/ f(x)-g(x)

Questions & Answers

QUESTION:

Suppose \(\lim _{x \rightarrow c} f(x)=5\) and \(\lim _{x \rightarrow c} g(x)=-2\). Find

a. \(\lim _{x \rightarrow c} f(x) g(x)\)  

b. \(\lim _{x \rightarrow c} 2 f(x) g(x)\)

c. \(\lim _{x \rightarrow c}(f(x)+3 g(x))\)

D. \(\lim _{x \rightarrow c} \frac{f(x)}{f(x)-g(x)}\)

Equation Transcription:

Text Transcription:

Lim_x right arrow c f(x)=5

Lim_x right arrow c g(x)=-2

Lim_x right arrow c f(x) g(x)

Lim_x right arrow c f(x)+ 3g(x))

Lim_x right arrow c f(x)/ f(x)-g(x)

ANSWER:

Solution :

Step 1 :

In this problem, we have to find the limit.

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