What is the limit as t approaches 0 of (e^{2t})/(sin(t)) ?

The limit as t approaches 0 of (e^{2t})/(sin(t)) is diverges

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limit as t approaches 0 of (e^{2t})/(sin(t))

t \to 0 lim (\frac{e ^{2 t}}{sin ( t )})

diverges

Solution steps

t \to 0 lim (\frac{e ^{2 t}}{sin ( t )})

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

then the limit does not exist

t \to 0 + lim (\frac{e ^{2 t}}{sin ( t )}) = \infty

t \to 0 - lim (\frac{e ^{2 t}}{sin ( t )}) = - \infty

= diverges

What is the limit as t approaches 0 of (e^{2t})/(sin(t)) ?
The limit as t approaches 0 of (e^{2t})/(sin(t)) is diverges