What is the limit as x approaches-5+of 3/(x^2-25) ?

The limit as x approaches-5+of 3/(x^2-25) is -infinity

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limit as x approaches-5+of 3/(x^2-25)

x \to - 5 + lim (\frac{3}{x ^{2} - 25})

- \infty

Solution steps

x \to - 5 + lim (\frac{3}{x ^{2} - 25})

For

x

approaching

- 5

from the right

, x > - 5 \Rightarrow x^{2} - 25 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

\frac{d}{d x} (x^{s i n (3 x)})

\frac{\partial}{\partial u} (cos (u + v))

x \to - 4 + lim (\frac{1}{( x + 4 ) ^{2}})

\int \frac{arctan ( 2 x )}{1 + 4 x ^{2}} d x

\frac{1}{12 x ^{2}}, x, \frac{x}{10}

What is the limit as x approaches-5+of 3/(x^2-25) ?
The limit as x approaches-5+of 3/(x^2-25) is -infinity