What is the limit as x approaches 0+of 1/(4x^{6/7)}-7/((x-6^{6/7))} ?

The limit as x approaches 0+of 1/(4x^{6/7)}-7/((x-6^{6/7))} is infinity

Popular >

limit as x approaches 0+of 1/(4x^{6/7)}-7/((x-6^{6/7))}

x \to 0 + lim \frac{1}{4 x ^{\frac{6}{7}}} - \frac{7}{( x - 6 ^{\frac{6}{7}} )}

\infty

Solution steps

x \to 0 + lim (\frac{1}{4 x ^{\frac{6}{7}}} - \frac{7}{x - 6 ^{\frac{6}{7}}})

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 0 + lim (\frac{1}{4 x ^{\frac{6}{7}}}) - x \to 0 + lim (\frac{7}{x - 6 ^{\frac{6}{7}}})

x \to 0 + lim (\frac{1}{4 x ^{\frac{6}{7}}}) = \infty

x \to 0 + lim (\frac{7}{x - 6 ^{\frac{6}{7}}}) = - \frac{7}{6 ^{\frac{6}{7}}}

= \infty - (- \frac{7}{6 ^{\frac{6}{7}}})

Apply Infinity Property:

\infty - c = \infty

= \infty

\frac{12}{x ^{5}}

\frac{9 - sec ( x )}{tan ( x )}

\frac{\partial}{\partial t} (\frac{3 r + s}{t})

y^{^{''}} - 2 y^{^{'}} + 6 y = 0

\int 4 sin^{2} (x) cos^{3} (x) d x

What is the limit as x approaches 0+of 1/(4x^{6/7)}-7/((x-6^{6/7))} ?
The limit as x approaches 0+of 1/(4x^{6/7)}-7/((x-6^{6/7))} is infinity