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

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

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

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

\infty

Solution steps

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

For

x

approaching

0

from the right

, x > 0 \Rightarrow x + x^{2} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

\frac{f ( a + h ) - f ( a - h )}{2 h}

x \to - 1 lim (∣ x - 1 ∣)

(9, - 1), (4, - 11)

y = 6, y = x^{2} - 3

\frac{d}{d x} (arctan (\frac{x}{2}) + arctan (\frac{2}{x}))

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