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# Find the limits: lim_{xrightarrow3}f(x), where f(x)=frac{1}{2}x-7

Question
Limits and continuity
asked 2021-01-04
Find the limits:
$$\lim_{x\rightarrow3}f(x),\ where\ f(x)=\frac{1}{2}x-7$$

## Answers (1)

2021-01-05
Consider the given:
Find the limits:
$$f(x)=\frac{1}{2}x-7$$
$$\lim_{x\rightarrow3}f(x),\ where\ f(x)=\frac{1}{2}x-7$$
$$=\frac{1}{2}(3)-7$$
$$=\frac{3}{2}-7$$
$$=\frac{3-14}{2}$$
$$=-\frac{11}{2}$$
Result: $$\lim_{x\rightarrow3}f(x),\ where\ f(x)=\frac{1}{2}x-7=-\frac{11}{2}$$

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