Question

Prove this statement:


[ (1/a+h) -(1/a) ] / h = (1/h) [ ( a-(a+h) ) /a (a+h) ]

Answer 1

just compute the fraction inside the square brackets.

Answer 2

i.e., simplify this:\[\frac{1}{a+h}-\frac{1}{a}\]

Answer 3

ok so thats a 1/h on top, but where does all that extra crap come from

Answer 4

(1/h)/h

or?

Answer 5

first compute the fraction I showed above - the answer will become clear after that.

Answer 6

BTW: that fraction does not simplify to 1/h

Answer 7

proved