What is the limit as x approaches 0 of (x^5+9x)/x ?

The limit as x approaches 0 of (x^5+9x)/x is 9

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limit as x approaches 0 of (x^5+9x)/x

x \to 0 lim (\frac{x ^{5} + 9 x}{x})

9

Solution steps

x \to 0 lim (\frac{x ^{5} + 9 x}{x})

Simplify

\frac{x ^{5} + 9 x}{x} : x^{4} + 9

= x \to 0 lim (x^{4} + 9)

Plug in the value

x = 0

= 0^{4} + 9

Simplify

= 9

e^{1 + x^{2}} + 3 x^{4}

\int \frac{cos ( 2 x )}{sin ^{7} ( 2 x )} d x

\frac{d y}{d x} = x^{3} - 2 y

y = 3 + 4 x^{2} - 2 x^{3}, (1, 5)

f (x) = 3 x^{2} e^{x} + e^{x} (x^{3} + 6)

What is the limit as x approaches 0 of (x^5+9x)/x ?
The limit as x approaches 0 of (x^5+9x)/x is 9