What is the limit as x approaches 0 of ((x^2+5x))/x ?

The limit as x approaches 0 of ((x^2+5x))/x is 5

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limit as x approaches 0 of ((x^2+5x))/x

x \to 0 lim (\frac{( x ^{2} + 5 x )}{x})

5

Solution steps

x \to 0 lim (\frac{x ^{2} + 5 x}{x})

Simplify

\frac{x ^{2} + 5 x}{x} : x + 5

= x \to 0 lim (x + 5)

Plug in the value

x = 0

= 0 + 5

Simplify

= 5

y = \frac{3}{x ^{2} - 5}

\int \frac{2 y}{x + 1} d x

x \to 0 - lim (- x + 5)

y^{^{''}} + 16 y = 16 sec (24 t)

\frac{( s + 3 )}{( s ^{2} + 3 s + 2 )}

What is the limit as x approaches 0 of ((x^2+5x))/x ?
The limit as x approaches 0 of ((x^2+5x))/x is 5