What is the limit as x approaches 4+of 1/(4-x) ?

The limit as x approaches 4+of 1/(4-x) is -infinity

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limit as x approaches 4+of 1/(4-x)

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

- \infty

Solution steps

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

For

x

approaching

4

from the right

, x > 4 \Rightarrow 4 - x < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

x \to 1 lim (lo g_{2} (8 x))

x \to 0 lim ((x + sin (x))^{x})

x \to 0 lim (2 e^{x})

x \to - \infty lim (- 5 x)

x \to \infty lim ((2 x^{- 5} + 1)^{6 x^{5}})

What is the limit as x approaches 4+of 1/(4-x) ?
The limit as x approaches 4+of 1/(4-x) is -infinity