What is the limit as t approaches 0 of ((e^t-1))/t ?

The limit as t approaches 0 of ((e^t-1))/t is 1

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limit as t approaches 0 of ((e^t-1))/t

t \to 0 lim (\frac{( e ^{t} - 1 )}{t})

1

Solution steps

t \to 0 lim (\frac{e ^{t} - 1}{t})

Apply L'Hopital's Rule

: t \to 0 lim (\frac{e ^{t}}{1})

= t \to 0 lim (\frac{e ^{t}}{1})

Plug in the value

t = 0

= \frac{e ^{0}}{1}

Simplify

= 1

\frac{d}{d x} ((x + y)^{2} + (x + 1)^{2})

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\frac{d}{d x} (y^{2} + x^{2} - 2)

\int a - x^{2} d x

What is the limit as t approaches 0 of ((e^t-1))/t ?
The limit as t approaches 0 of ((e^t-1))/t is 1