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

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

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

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

- \infty

Solution steps

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

For

x

approaching

3

from the right

, x > 3 \Rightarrow x - 3 > 0

The denominator is a positive quantity approaching 0 from the right

= - \infty

\frac{d}{d x} (\frac{e ^{x}}{4 - 3 e ^{x}})

\frac{\partial}{\partial x} (x^{2} y + x + 1)

e^{5 x}

\int (x^{3} e^{- x^{2}}) d x

\int sin (ln (3 x)) d x

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