Please solve this:-
Solve this problem \begin{gathered} {\large{ \bf{let \: f(x) = \begin{cases}x \sin\dfrac{1}{x} \: \: \: if \: \: x \neq0 \\ 0 \: \: when \: \: x = 0\end{cases}}}}\end{gathered} letf(x)= ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ xsin x 1 ifx =0 0whenx=0 Check differentiability and continuity at x = 0.
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Please solve this:-
Solve this problem \begin{gathered} {\large{ \bf{let \: f(x) = \begin{cases}x \sin\dfrac{1}{x} \: \: \: if \: \: x \neq0 \\ 0 \: \: when \: \: x = 0\end{cases}}}}\end{gathered} letf(x)= ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ xsin x 1 ifx =0 0whenx=0 Check differentiability and continuity at x = 0.
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thunderstorm, a violent short-lived weather disturbance that is almost always associated with lightning, thunder, dense clouds, heavy rain or hail, and strong gusty winds. Thunderstorms arise when layers of warm, moist air rise in a large, swift updraft to cooler regions of the atmosphere.
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