What is the limit as x approaches 0 of (x^2+8x)/x ?

The limit as x approaches 0 of (x^2+8x)/x is 8

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limit as x approaches 0 of (x^2+8x)/x

x \to 0 lim (\frac{x ^{2} + 8 x}{x})

8

Solution steps

x \to 0 lim (\frac{x ^{2} + 8 x}{x})

Simplify

\frac{x ^{2} + 8 x}{x} : x + 8

= x \to 0 lim (x + 8)

Plug in the value

x = 0

= 0 + 8

Simplify

= 8

\frac{d}{d x} (arccsc (2 x))

\frac{d y}{d t} - 3 y = 3 e^{4 t}

y = 2 x^{2} lo g_{e} (x) - x^{2}

f (x) = e^{x}, at x = ln (7)

\frac{d y}{d x} = \frac{y}{x} + \frac{( y ^{2} )}{x ^{2}}

What is the limit as x approaches 0 of (x^2+8x)/x ?
The limit as x approaches 0 of (x^2+8x)/x is 8