007A Sample Midterm 3, Problem 1

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Find the following limits:

(a) If $\lim _{x\rightarrow 3}{\bigg (}{\frac {f(x)}{2x}}+1{\bigg )}=2,$ find $\lim _{x\rightarrow 3}f(x).$

(b) Evaluate $\lim _{x\rightarrow 2}{\frac {2-x}{x^{2}-4}}.$

(c) Find $\lim _{x\rightarrow 0}{\frac {\tan(4x)}{\sin(6x)}}.$

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