Infinite Product Of 1's

Calculus Level 1

limx0(1+x)1/x=(1+0)1/0=1=1×1×1××1=1.\begin{aligned} \lim_{x\to0}(1+x)^{1/x}&=&(1+0)^{1/0} \\ &=&1^\infty\\ &=&1\times1\times1\times\cdots\times1 \\ &=& 1 . \end{aligned}

Is the working above correct?

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