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Question Number 122730 by bemath last updated on 19/Nov/20

 Given f(x)=cos ((1/x)) and g(x)=tan 2x.  Find the intersect point vertical  asymptote f(x) and  horizontal   asymptote g(x) for 0 ≤x≤π.

$$\:{Given}\:{f}\left({x}\right)=\mathrm{cos}\:\left(\frac{\mathrm{1}}{{x}}\right)\:{and}\:{g}\left({x}\right)=\mathrm{tan}\:\mathrm{2}{x}. \\ $$$${Find}\:{the}\:{intersect}\:{point}\:{vertical} \\ $$$${asymptote}\:{f}\left({x}\right)\:{and}\:\:{horizontal}\: \\ $$$${asymptote}\:{g}\left({x}\right)\:{for}\:\mathrm{0}\:\leqslant{x}\leqslant\pi. \\ $$

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