What is the limit as h approaches 0 of ((f(h)(4+h)-f(4)))/h ?

The limit as h approaches 0 of ((f(h)(4+h)-f(4)))/h is diverges

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limit as h approaches 0 of ((f(h)(4+h)-f(4)))/h

h \to 0 lim (\frac{( f ( h ) ( 4 + h ) - f ( 4 ) )}{h})

diverges

Solution steps

h \to 0 lim (\frac{f ( h ) ( 4 + h ) - f ( 4 )}{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{f ( h ) ( 4 + h ) - f ( 4 )}{h}) = - \infty

h \to 0 - lim (\frac{f ( h ) ( 4 + h ) - f ( 4 )}{h}) = \infty

= diverges

\frac{\partial}{\partial x} (e^{- x} cos (y))

y = x^{3}

x y^{^{'}} + x y = 1 - y

(2 x y^{2} - 3 y^{3}) d x + (7 - 3 x y^{2}) d y = 0

f (x) = x \cdot e^{\frac{1}{x}}

What is the limit as h approaches 0 of ((f(h)(4+h)-f(4)))/h ?
The limit as h approaches 0 of ((f(h)(4+h)-f(4)))/h is diverges