What is the limit as x approaches 0 of (x+5)e^{1/x} ?

The limit as x approaches 0 of (x+5)e^{1/x} is diverges

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limit as x approaches 0 of (x+5)e^{1/x}

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

diverges

Solution steps

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

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim ((x + 5) e^{\frac{1}{x}}) = \infty

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

= diverges

\int_{0}^{π} (8 e^{x} + 7 sin (x)) d x

\frac{5 x ^{2} + 3 x}{2 x}

y = (x^{3} - 25 x)^{14}, (- 5, 0)

n = 0 \sum \infty \frac{1}{( n + 1 )}

What is the limit as x approaches 0 of (x+5)e^{1/x} ?
The limit as x approaches 0 of (x+5)e^{1/x} is diverges