What is the limit as w approaches 0 of (e^{2w}-(1+w))/(w^2) ?

The limit as w approaches 0 of (e^{2w}-(1+w))/(w^2) is diverges

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limit as w approaches 0 of (e^{2w}-(1+w))/(w^2)

w \to 0 lim (\frac{e ^{2 w} - ( 1 + w )}{w ^{2}})

diverges

Solution steps

w \to 0 lim (\frac{e ^{2 w} - ( 1 + w )}{w ^{2}})

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

then the limit does not exist

w \to 0 + lim (\frac{e ^{2 w} - ( 1 + w )}{w ^{2}}) = \infty

w \to 0 - lim (\frac{e ^{2 w} - ( 1 + w )}{w ^{2}}) = - \infty

= diverges

\int \frac{1}{- x} d x

\int \frac{2 x + 3}{x ^{2} + 3 x - 5} d x

\int ln (\frac{1}{x}) d x

\frac{d y}{d t} = (a \cdot 2) - \frac{y}{20} 2, y (0) = 0

What is the limit as w approaches 0 of (e^{2w}-(1+w))/(w^2) ?
The limit as w approaches 0 of (e^{2w}-(1+w))/(w^2) is diverges