What is the limit as x approaches 0 of (x^4+7x)/x ?

The limit as x approaches 0 of (x^4+7x)/x is 7

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limit as x approaches 0 of (x^4+7x)/x

x \to 0 lim (\frac{x ^{4} + 7 x}{x})

7

Solution steps

x \to 0 lim (\frac{x ^{4} + 7 x}{x})

Simplify

\frac{x ^{4} + 7 x}{x} : x^{3} + 7

= x \to 0 lim (x^{3} + 7)

Plug in the value

x = 0

= 0^{3} + 7

Simplify

= 7

\int (x + \frac{1}{x}) d x

\frac{df}{d x} = tan^{3} (x) - sec^{3} (x)

(- 1, - 1), (1, 0)

\frac{d}{d x} (2 x + x ln (x))

f (x) = sin (6 x)

What is the limit as x approaches 0 of (x^4+7x)/x ?
The limit as x approaches 0 of (x^4+7x)/x is 7