What is the limit as x approaches 0 of (x^2+x)/(x+1) ?

The limit as x approaches 0 of (x^2+x)/(x+1) is 0

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limit as x approaches 0 of (x^2+x)/(x+1)

x \to 0 lim (\frac{x ^{2} + x}{x + 1})

0

Solution steps

x \to 0 lim (\frac{x ^{2} + x}{x + 1})

Plug in the value

x = 0

= \frac{0 ^{2} + 0}{0 + 1}

Simplify

\frac{0 ^{2} + 0}{0 + 1} : 0

= 0

x \to 3 lim (\frac{x ^{3} - 3 x}{x})

x \to 0 lim (\frac{csc ( 7 x )}{csc ( 3 x )})

x \to 3 + lim (\frac{4}{3 - x})

x \to 3 lim (\frac{1}{x ^{8.132}})

x \to 5 - lim (\frac{1}{5 - x})

What is the limit as x approaches 0 of (x^2+x)/(x+1) ?
The limit as x approaches 0 of (x^2+x)/(x+1) is 0