What is the limit as x approaches 0 of x(13+5/x) ?

The limit as x approaches 0 of x(13+5/x) is 5

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limit as x approaches 0 of x(13+5/x)

x \to 0 lim (x (13 + \frac{5}{x}))

5

Solution steps

x \to 0 lim (x (13 + \frac{5}{x}))

Simplify

x (13 + \frac{5}{x}) : 13 x + 5

= x \to 0 lim (13 x + 5)

Plug in the value

x = 0

= 13 \cdot 0 + 5

Simplify

= 5

f (x) = e^{x} - 2

\int \frac{sec ^{2} ( x )}{6 + 2 tan ^{2} ( x )} d x

f (x) = \frac{1}{2} b (\frac{1}{x} - \frac{1}{x ^{0}})^{2}

f (x) = x^{3} - 5 x^{2} + 7, at x = 1

\int \frac{x + 5}{x ^{2} + 2 x - 15} d x

What is the limit as x approaches 0 of x(13+5/x) ?
The limit as x approaches 0 of x(13+5/x) is 5