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

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

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

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

\infty

Solution steps

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

For

x

approaching

4

from the right

, x > 4 \Rightarrow x - 4 > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

\frac{d y}{d x} = 2 x - y

x \to 2 lim (9 (ln (5 x) + 1))

\int 3 sin (t) - 2 cos (t) d t

\int tan (x) sec^{4} (x) d x

y^{^{''}} + 2 y^{^{'}} + 3 y = 0

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