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

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

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

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

0

Solution steps

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

Plug in the value

x = 0

= \frac{0 ^{2}}{0 + 5}

Simplify

\frac{0 ^{2}}{0 + 5} : 0

= 0

x \to - \frac{1}{2} lim (- \frac{7}{2 x + 1})

x \to - 2 lim ((x^{2} - 4 x + 5)^{2})

x \to 0 + lim (ln (x) \cdot sin (x))

n \to \infty lim (\frac{n cos ( nπ )}{2 n - 1})

x \to 4 lim (\frac{x}{( x - 4 ) ^{2}})

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