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(Solved): 2. Prove (hint: use the squeeze theorem): a. \( \lim _{x \rightarrow 0}\left(x \cos \left(\frac{1} ...
2. Prove (hint: use the squeeze theorem): a. \( \lim _{x \rightarrow 0}\left(x \cos \left(\frac{1}{x}\right)\right)=0 \) b. \( \quad \lim _{x \rightarrow 0}\left(x \tan ^{-1}(x)\right)=0 \)
Expert Answer
Using the Squeeze theorem to prove that, (a). To