Question

Evaluate the following, if it exists: $\displaystyle \lim_{x \: \to \: 0} \sqrt{ \sqrt{x} + {x}^{3} }\cos \cfrac{ \pi}{x}$

Answer 1

Answer:

here is your but I am not sure

i hope it's helpful you

Answer 2

$\: \: \: \: \: \huge\mathcal{\fcolorbox{aqua}{azure} {\red{❖Answer}}}$

ANS = $\bf \: \: ∴does \: not \: exist \:$

$\bf \: ∴because \: there \: are \: no \: value \: of \: 0 \: left \: in \:$

$\bf \:∴ the \: domain \: of \: \sqrt{ \sqrt{x + {x}^{3} } } \cos( \frac{\pi}{r} ) \\ \bf \: the \: limit \: does \: not \: exist \:$