What is the limit as x approaches+1 of |e^{x-1}-1| ?

The limit as x approaches+1 of |e^{x-1}-1| is 0

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limit as x approaches+1 of |e^{x-1}-1|

x \to + 1 lim (e^{x - 1} - 1)

0

Solution steps

x \to 1 lim (e^{x - 1} - 1)

Plug in the value

x = 1

= e^{1 - 1} - 1

Simplify

e^{1 - 1} - 1 : 0

= 0

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What is the limit as x approaches+1 of |e^{x-1}-1| ?
The limit as x approaches+1 of |e^{x-1}-1| is 0