Mathematics, 22.01.2021 19:20 Geo777
: Discuss the continuity of the function f(x)=xtanh(1/x) at x = 0 given that x≠0 and f(0)=0.
Answers: 1
![\lim \limits _{x \to 0^-} [ x \ tan (\dfrac{1}{x})] = \lim \limits _{x \to 0^-} \dfrac{\dfrac{d}{dx} \ tan \dfrac{1}{x} }{\dfrac{d}{dx} \dfrac{1}{x} }](/tpl/images/1057/0481/4d4a3.png)
not defined![\lim \limits _{x \to 0^- }[x \ tan (\dfrac{1}{x})] \ne 0 = f(0)](/tpl/images/1057/0481/18082.png)
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