Question

((1/(x+h))-(1/x))/h the limit as h -> 0 how can i go about solving this

Answer 1

find a common denominator

Answer 2

(x+h) for the top part

Answer 3

x(x+h) is a common denominator for the top

Answer 4

\[\frac1a+\frac1b=\frac{b+a}{ab}\]

Answer 5

So x+(x+h)/x(x+h)

Answer 6

x - (x+h)

but yeah

Answer 7

And all of that over h right.

Answer 8

yep

Answer 9

should the limit be a number without any variables?