What is the limit as x approaches 3+of 1/((x-3)^2) ?

The limit as x approaches 3+of 1/((x-3)^2) is infinity

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limit as x approaches 3+of 1/((x-3)^2)

x \to 3 + lim (\frac{1}{( x - 3 ) ^{2}})

\infty

Solution steps

x \to 3 + lim (\frac{1}{( x - 3 ) ^{2}})

For

x

approaching

3

from the right

, x > 3 \Rightarrow (x - 3)^{2} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

\int \frac{sin ( 5 x )}{1 - cos ( 5 x )} d x

\frac{d y}{( 1 + 4 y ^{2} )} = - \frac{x}{( 1 + x ^{4} )} d x

6 x^{\frac{3}{2}}

x \to \infty lim (0.9 9^{x})

\frac{d}{d t} (a t e^{t})

What is the limit as x approaches 3+of 1/((x-3)^2) ?
The limit as x approaches 3+of 1/((x-3)^2) is infinity