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

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

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

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

1

Solution steps

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

Plug in the value

x = 1

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

Simplify

= 1

x \to 3 lim (\frac{9}{( x - 3 ) ^{5}})

x \to 0 + lim (4 x^{2} ln (x))

x \to 0 + lim (x cos^{2} (\frac{1}{x}))

x \to - \infty lim (1 0^{x} + 2)

x \to \infty lim (5 + \frac{8}{x})

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