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Popular >

limit as x approaches infinity of sqrt(9x^2+x)-3

Solution

x \to \infty lim (9 x^{2} + x - 3)

Solution

\infty

Solution steps

x \to \infty lim (9 x^{2} + x - 3)

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 (9 x^{2} + x) - x \to \infty lim (3)

x \to \infty lim (9 x^{2} + x) = \infty

x \to \infty lim (3) = 3

= \infty - 3

Apply Infinity Property:

\infty - c = \infty

= \infty

Popular Examples

integral of 1/(y^3+y)

\int \frac{1}{y ^{3} + y} d y

integral of 1/(x(x^2+1)^2)

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

integral of 1/((x+1)sqrt(x^2+2x-8))

\int \frac{1}{( x + 1 ) x ^{2} + 2 x - 8} d x

derivative of (x^3-1)/(x^2)derivative of

\frac{x ^{3} - 1}{x ^{2}}

integral of (3x-1)/(x^2+9)

\int \frac{3 x - 1}{x ^{2} + 9} d x

Frequently Asked Questions (FAQ)

What is the limit as x approaches infinity of sqrt(9x^2+x)-3 ?
The limit as x approaches infinity of sqrt(9x^2+x)-3 is infinity