What is the limit as h approaches 0 of ((x+h)^2-9)/h ?

The limit as h approaches 0 of ((x+h)^2-9)/h is diverges

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limit as h approaches 0 of ((x+h)^2-9)/h

h \to 0 lim (\frac{( x + h ) ^{2} - 9}{h})

diverges

Solution steps

h \to 0 lim (\frac{( x + h ) ^{2} - 9}{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{( x + h ) ^{2} - 9}{h}) = - \infty

h \to 0 - lim (\frac{( x + h ) ^{2} - 9}{h}) = \infty

= diverges

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What is the limit as h approaches 0 of ((x+h)^2-9)/h ?
The limit as h approaches 0 of ((x+h)^2-9)/h is diverges