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

The limit as x approaches 3 of 1/((3+x)^2) is 1/36

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

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

\frac{1}{36}

Decimal Notation

0.02777 \dots

Solution steps

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

Plug in the value

x = 3

= \frac{1}{( 3 + 3 ) ^{2}}

Simplify

= \frac{1}{36}

x \to 7 lim (x + 7)

x \to 1 + lim (\frac{4}{x ^{2} - 1})

x \to 0 - lim (\frac{x}{1 + e ^{\frac{1}{x}}})

x \to \infty lim (- x^{- 3})

x \to 1 + lim (csc (π x))

What is the limit as x approaches 3 of 1/((3+x)^2) ?
The limit as x approaches 3 of 1/((3+x)^2) is 1/36