What is the limit as x approaches 7-of 4/((x-7)^2) ?

The limit as x approaches 7-of 4/((x-7)^2) is infinity

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limit as x approaches 7-of 4/((x-7)^2)

x \to 7 - lim (\frac{4}{( x - 7 ) ^{2}})

\infty

Solution steps

x \to 7 - lim (\frac{4}{( x - 7 ) ^{2}})

For

x

approaching

7

from the left

, x < 7 \Rightarrow (x - 7)^{2} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

y = - 6 x + k

\int_{0}^{1} 1 (x^{2} + 1) e^{- x} d x

\frac{5}{x ^{5}} + \frac{3}{x ^{2}}

- 3 x^{2} - 5 x

\frac{d}{d x} (\frac{x ^{2}}{x + 10})

What is the limit as x approaches 7-of 4/((x-7)^2) ?
The limit as x approaches 7-of 4/((x-7)^2) is infinity