What is the limit as x approaches 3 of (e^1)/x ?

The limit as x approaches 3 of (e^1)/x is e/3

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limit as x approaches 3 of (e^1)/x

x \to 3 lim (\frac{e ^{1}}{x})

\frac{e}{3}

Decimal

0.90609 \dots

Solution steps

x \to 3 lim (\frac{e ^{1}}{x})

Plug in the value

x = 3

= \frac{e ^{1}}{3}

Simplify

= \frac{e}{3}

x \to - 8 lim (- f (x))

x \to 3 lim (\frac{2 x ^{3} + 1}{x})

x \to 2 lim (\frac{1}{x ^{2} ( x - 2 )})

x \to - 6 lim (\frac{3}{x + 6})

x \to 0 + lim ((1 - 5 x)^{\frac{5}{x}})

What is the limit as x approaches 3 of (e^1)/x ?
The limit as x approaches 3 of (e^1)/x is e/3