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

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

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

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

- \infty

Solution steps

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

For

x

approaching

2

from the right

, x > 2 \Rightarrow x - 2 > 0

The denominator is a positive quantity approaching 0 from the right

= - \infty

\frac{d}{d x} (\frac{2 x - 3}{2 x + 5})

\int (x - 3) \cdot cos (x) d x

\int \frac{5 r ^{2}}{r + 3} d r

\frac{d}{d x} (x^{2} ln (5 x))

d er i v a t i v e (x - 2)^{2}

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