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

The limit as h approaches 0 of ((a+h)-(a))/h is 1

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limit as h approaches 0 of ((a+h)-(a))/h

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

1

Solution steps

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

Simplify

= h \to 0 lim (1)

x \to a lim c = c

= 1

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What is the limit as h approaches 0 of ((a+h)-(a))/h ?
The limit as h approaches 0 of ((a+h)-(a))/h is 1