Question

Limit Question.

Answer 1

\[\large \bf \lim_{x \rightarrow 0} \frac{e^{bx}-e^{ax}}{x}~where~0<a<b\]

Answer 2

@rational @amistre64

Answer 3

hi....and woah

Answer 4

i would try too help you but this is WAY above my level lol sorry ;(

Answer 5

its ok !

Answer 6

i get the limit is b - a

Answer 7

have you tried a power series representation? just a thought

Answer 8

yup ! the answer is correct @perl
and @amistre64 you mean TAYLOR SERIES !

Answer 9

if thats what you want to call it then yeah

Answer 10

can you please explain to me ? @perl

Answer 11

you factor out e^(ax) from the numerator