Question

Use a calculator to evaluate the indicated limit.\\ $\lim_{x \to 0} (1 + x)^{\frac{1}{x}}$ (Do you recognize the limiting value?)

          Use a calculator to evaluate the indicated limit.\\
$\lim_{x \to 0} (1 + x)^{\frac{1}{x}}$ (Do you recognize the limiting value?)
        
Use a calculator to evaluate the indicated limit.

limx → 0 (1 + x)^(1)/(x) (Do you recognize the limiting value?)

Added by Abigail B.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Use a calculator to evaluate the indicated limit. lim_(x->0)(1+x)^((1)/(x)) (Do you recognize the limiting value?) Use a calculator to evaluate the indicated limit K< X-0
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Transcript

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00:01 All right here on this problem, we want to evaluate the following limit.
00:05 Anytime you have this with a negative exponent, it's always a good idea to flip it to make it a positive exponent.
00:15 And so this is the same as the following.
00:20 And next to the negative first up top, we can just move it to the bottom and make it a regular x of the first.
00:27 Now from here, when you put it in zero up top, you get zero.
00:31 Again, zero on bottom, you get zero.
00:32 So we have zero over zero...
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