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

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

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

h \to 0 lim (\frac{\frac{1}{1 + h} - 1}{h})

- 1

Solution steps

h \to 0 lim (\frac{\frac{1}{1 + h} - 1}{h})

Simplify

\frac{\frac{1}{1 + h} - 1}{h} : - \frac{1}{1 + h}

= h \to 0 lim (- \frac{1}{1 + h})

Plug in the value

h = 0

= - \frac{1}{1 + 0}

Simplify

= - 1

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\frac{\partial}{\partial x} (x^{2} + y^{2} + (x + y)^{2})

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