# 007A Sample Midterm 1, Problem 1

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Find the following limits:

(a) Find provided that

(b) Find

(c) Evaluate

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Find the following limits:

(a) Find $\lim _{x\rightarrow 2}g(x),$ provided that $\lim _{x\rightarrow 2}{\bigg [}{\frac {4-g(x)}{x}}{\bigg ]}=5.$

(b) Find $\lim _{x\rightarrow 0}{\frac {\sin(4x)}{5x}}$

(c) Evaluate $\lim _{x\rightarrow -3^{+}}{\frac {x}{x^{2}-9}}$