Question

Evaluate the following limits, allowing +oo and -o as possible values of a limit. If the limit does not exist, explain why. Show all work. (10 points) \lim _{x \rightarrow 0} \frac{\tan (2 x) \cos (2 x)-\sin (5 x)}{\sin (3 x)} \lim _{\Delta x \rightarrow 0} \frac{f(x+\Delta x)-f(x)}{\Delta \mathrm{x}} \text { where } f(x)=3 x^{2}-4 x+1

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