What is the limit as x approaches infinity of 11+4/(x^2) ?

The limit as x approaches infinity of 11+4/(x^2) is 11

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limit as x approaches infinity of 11+4/(x^2)

x \to \infty lim (11 + \frac{4}{x ^{2}})

11

Solution steps

x \to \infty lim (11 + \frac{4}{x ^{2}})

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

= x \to \infty lim (11) + x \to \infty lim (\frac{4}{x ^{2}})

x \to \infty lim (11) = 11

x \to \infty lim (\frac{4}{x ^{2}}) = 0

= 11 + 0

Simplify

= 11

\frac{d}{d x} (\frac{4}{3} π x^{2})

f (x) = 12 x, (1, 12)

\int sec^{11} (x) d x

x^{\frac{6}{5}} + e^{- 3 x}

\int \frac{1}{x ^{2} + 3 x + 2} d x

What is the limit as x approaches infinity of 11+4/(x^2) ?
The limit as x approaches infinity of 11+4/(x^2) is 11