What is the limit as x approaches 2 of (e^xsin(x))/((x-2)^3) ?

The limit as x approaches 2 of (e^xsin(x))/((x-2)^3) is diverges

Popular >

limit as x approaches 2 of (e^xsin(x))/((x-2)^3)

x \to 2 lim (\frac{e ^{x} sin ( x )}{( x - 2 ) ^{3}})

diverges

Solution steps

x \to 2 lim (\frac{e ^{x} sin ( x )}{( x - 2 ) ^{3}})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 2 + lim (\frac{e ^{x} sin ( x )}{( x - 2 ) ^{3}}) = \infty

x \to 2 - lim (\frac{e ^{x} sin ( x )}{( x - 2 ) ^{3}}) = - \infty

= diverges

x \to 0 lim (ln (1 - cos (x)))

x \to \infty lim ((1 + \frac{10}{x})^{5 x})

x \to 0 lim (\frac{1}{x} (\frac{1}{x + 4.25} - \frac{1}{4.25}))

x \to \infty lim (4 + 4 e \frac{1}{x - 3})

x \to - 1 lim (x^{\frac{1}{1 - x}})

What is the limit as x approaches 2 of (e^xsin(x))/((x-2)^3) ?
The limit as x approaches 2 of (e^xsin(x))/((x-2)^3) is diverges