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

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

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

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

- \infty

Solution steps

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

For

x

approaching

5

from the left

, x < 5 \Rightarrow x - 5 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

\frac{d}{d x} (x^{2} y^{3} + x e^{x y})

\int (10 x + 0.5) d x

\frac{d}{d y} (x^{\frac{z}{y}})

\frac{d}{d x} (65536 cos (2 x))

\int (16 x + 4) 8 x^{2} + 4 x d x

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