What is the limit as x approaches 0 of (x^5+8x)/x ?

The limit as x approaches 0 of (x^5+8x)/x is 8

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limit as x approaches 0 of (x^5+8x)/x

x \to 0 lim (\frac{x ^{5} + 8 x}{x})

8

Solution steps

x \to 0 lim (\frac{x ^{5} + 8 x}{x})

Simplify

\frac{x ^{5} + 8 x}{x} : x^{4} + 8

= x \to 0 lim (x^{4} + 8)

Plug in the value

x = 0

= 0^{4} + 8

Simplify

= 8

\int_{0}^{1} e^{x} + e^{- x} d x

\frac{d}{d t} (ln ((\frac{a + b t}{a - b t})^{\frac{1}{2}}))

arctan (9 t)

\int_{0}^{2} x^{2} e^{- 9 x} d x

\frac{d}{d x} (6 (sec (x) - tan (x))^{\frac{3}{2}})

What is the limit as x approaches 0 of (x^5+8x)/x ?
The limit as x approaches 0 of (x^5+8x)/x is 8