What is the limit as x approaches 0 of (x^2+7x)/x ?

The limit as x approaches 0 of (x^2+7x)/x is 7

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limit as x approaches 0 of (x^2+7x)/x

x \to 0 lim (\frac{x ^{2} + 7 x}{x})

7

Solution steps

x \to 0 lim (\frac{x ^{2} + 7 x}{x})

Simplify

\frac{x ^{2} + 7 x}{x} : x + 7

= x \to 0 lim (x + 7)

Plug in the value

x = 0

= 0 + 7

Simplify

= 7

\int (2 t + 3)^{- 3} d t

f (x) = \frac{2 x - 1}{x + 5}, at x = 4

\int \frac{x ^{2} + 9}{x ^{4}} d x

sin (5 x)

d p = (3 p - p^{2} - \frac{9}{4}) d t

What is the limit as x approaches 0 of (x^2+7x)/x ?
The limit as x approaches 0 of (x^2+7x)/x is 7