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

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

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

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

e

Decimal Notation

2.71828 \dots

Solution steps

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

Apply L'Hopital's Rule

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

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

Plug in the value

t = 1

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

Simplify

= e

\frac{d}{d x} (x^{2} - 16 I n (x^{2}))

n = 2 \sum \infty \frac{5}{6 ^{n}}

\int e^{x} - \frac{2}{x} d x

(x + y) y^{^{'}} = 1

x \to 3 lim (+ (x - 3))

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