What is the limit as x approaches 6+of 1/((x-6)^2) ?

The limit as x approaches 6+of 1/((x-6)^2) is infinity

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limit as x approaches 6+of 1/((x-6)^2)

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

\infty

Solution steps

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

For

x

approaching

6

from the right

, x > 6 \Rightarrow (x - 6)^{2} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

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

\int \frac{2 ( csc ( x ) ) ^{2}}{cot ( x )} d x

\int_{0}^{3} 3 e^{x} d x

\int \frac{6}{( 9 x ^{2} + 1 ) ^{2}} d x

y = \frac{arctan ( 2 x )}{x}

What is the limit as x approaches 6+of 1/((x-6)^2) ?
The limit as x approaches 6+of 1/((x-6)^2) is infinity