What is the limit as h approaches 0 of (((1+h)e^{(1+h)^2}-3))/h ?

The limit as h approaches 0 of (((1+h)e^{(1+h)^2}-3))/h is diverges

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limit as h approaches 0 of (((1+h)e^{(1+h)^2}-3))/h

h \to 0 lim \frac{( ( 1 + h ) e ^{(1 + h)^{2}} - 3 )}{h}

diverges

Solution steps

h \to 0 lim (\frac{( 1 + h ) e ^{(1 + h)^{2}} - 3}{h})

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

then the limit does not exist

h \to 0 + lim (\frac{( 1 + h ) e ^{(1 + h)^{2}} - 3}{h}) = - \infty

h \to 0 - lim (\frac{( 1 + h ) e ^{(1 + h)^{2}} - 3}{h}) = \infty

= diverges

f (x) = 5 x^{3}

\int - \frac{cos ( 3 x )}{3} d x

\int \frac{0.25}{( 0.2 5 ^{2} + x ^{2} ) ^{\frac{3}{2}}} d x

x \to 0 lim (\frac{4 x ^{2}}{x ^{2}})

\int_{- 1}^{1} (14 - 12 x)^{- 1} d x

What is the limit as h approaches 0 of (((1+h)e^{(1+h)^2}-3))/h ?
The limit as h approaches 0 of (((1+h)e^{(1+h)^2}-3))/h is diverges