What is the limit as x approaches infinity+of (5-2x)/(3x-7) ?

The limit as x approaches infinity+of (5-2x)/(3x-7) is -2/3

Popular >

limit as x approaches infinity+of (5-2x)/(3x-7)

x \to \infty + lim (\frac{5 - 2 x}{3 x - 7})

- \frac{2}{3}

Decimal

- 0.66666 \dots

Solution steps

x \to \infty lim (\frac{5 - 2 x}{3 x - 7})

Divide by highest denominator power:

\frac{\frac{5}{x} - 2}{3 - \frac{7}{x}}

= x \to \infty lim (\frac{\frac{5}{x} - 2}{3 - \frac{7}{x}})

x \to a lim [\frac{f ( x )}{g ( x )}] = \frac{lim _{x \to a} f ( x )}{lim _{x \to a} g ( x )}, x \to a lim g (x) \neq = 0

With the exception of indeterminate form

= \frac{lim _{x \to \infty} ( \frac{5}{x} - 2 )}{lim _{x \to \infty} ( 3 - \frac{7}{x} )}

x \to \infty lim (\frac{5}{x} - 2) = - 2

x \to \infty lim (3 - \frac{7}{x}) = 3

= \frac{- 2}{3}

Simplify

= - \frac{2}{3}

\int \frac{1}{2} x^{\frac{4}{3}} d x

n = 0 \sum \infty n n

y = \frac{x ^{2}}{x + 9}, (1, \frac{1}{10})

\frac{\partial}{\partial x} ((x y^{2} + x^{3})^{4})

x \to 2 lim (x^{3} - 3 x + 7)

What is the limit as x approaches infinity+of (5-2x)/(3x-7) ?
The limit as x approaches infinity+of (5-2x)/(3x-7) is -2/3