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}})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

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

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

= \infty

f^{^{''}} (x) = \frac{1}{x}

y^{^{''}} - 4 y^{^{'}} + 20 y = 0, y (0) = - 1, y^{^{'}} (0) = - 3

\int_{10}^{20} \frac{10}{x ^{2}} d x

\int 4 x^{2} (4 x^{3} - x^{2})^{6} d x

y^{^{''}} + y^{^{'}} - 6 y = t e^{2 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