What is the limit as x approaches infinity of x^2+y ?

The limit as x approaches infinity of x^2+y is infinity

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limit as x approaches infinity of x^2+y

x \to \infty lim (x^{2} + y)

\infty

Solution steps

x \to \infty lim (x^{2} + y)

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 (x^{2}) + x \to \infty lim (y)

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

x \to \infty lim (y) = y

= \infty + y

Apply Infinity Property:

\infty + c = \infty

= \infty

x y^{^{'}} + 3 y = \frac{e ^{x}}{x}

\int \frac{1}{( x ^{2} - 36 ) ^{2}} d x

\int x sin (3 x + 2) d x

\frac{d}{d x} (e^{(x - 1)^{2}})

\int \frac{( e ^{2 x} )}{25 + e ^{4 x}} d x

What is the limit as x approaches infinity of x^2+y ?
The limit as x approaches infinity of x^2+y is infinity