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

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

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

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

\frac{1}{2}

Decimal Notation

0.5

Solution steps

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

Plug in the value

x = 1

= \frac{1}{1 + 1 ^{2}}

Simplify

= \frac{1}{2}

- 4 x^{2} + 9, x + 7, 0

x^{9}

\frac{d}{d x} (\frac{( x ^{2} - 5 ) ^{3}}{( x ^{2} + 4 ) ^{2}})

x y y^{^{'}} + 1 + x^{2} + y^{2} = 0

n = 0 \sum \infty arctan (n^{2})

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