What is the limit as x approaches-infinity of (sqrt(36x^2-7x))/(4-3x) ?

The limit as x approaches-infinity of (sqrt(36x^2-7x))/(4-3x) is Does not exist

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limit as x approaches-infinity of (sqrt(36x^2-7x))/(4-3x)

x \to - \infty lim (\frac{36 x ^{2} - 7 x}{4 - 3 x})

Does not exist

Solution steps

x \to - \infty lim (\frac{36 x ^{2} - 7 x}{4 - 3 x})

Factor out

36 x^{2}

from

36 x^{2} - 7 x : 36 x^{2} (1 - \frac{7 x}{36 x ^{2}})

= x \to - \infty lim \frac{36 x ^{2} ( 1 - \frac{7 x}{36 x ^{2}} )}{4 - 3 x}

Simplify

\frac{36 x ^{2} ( 1 - \frac{7 x}{36 x ^{2}} )}{4 - 3 x} : \frac{x ^{2} 36 x - 7}{x ( 4 - 3 x )}

= x \to - \infty lim (\frac{x ^{2} 36 x - 7}{x ( 4 - 3 x )})

\frac{x ^{2} 36 x - 7}{x ( 4 - 3 x )}

undefined for

x

approaching

- \infty

= Does not exist

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

x \to 243 lim (5 x)

x \to 0 lim (+ (sin (x))^{x})

x \to 0 lim (3 e^{x} + cos (2 x))

x \to \infty lim (0.7 5^{x})

What is the limit as x approaches-infinity of (sqrt(36x^2-7x))/(4-3x) ?
The limit as x approaches-infinity of (sqrt(36x^2-7x))/(4-3x) is Does not exist