Question

Find the limit. Use l'Hospital's Rule where appropriate.
Lim x->0 [ sqrt(1+3x) - sqrt(1-5x) ] / x

Answer 1

Find the Derivative of Numerator and Denominator...Seperately

Answer 2

Yeah I tried but the denominator is still =0

Answer 3

d (x)/dx = 1

Answer 4

so denominator is 1

Answer 5

You used the quotient rule?

Answer 6

No...) Differentiate Seperately..

Answer 7

sqrt(1+3x) = (1 + 3x) ^1/2

Answer 8

if you do difference separately, then you need to divide both by x which will need the quotient rule as well.
I entered 1 as my answer but it's wrong :(

Answer 9

In L'Hopital's rule Lt {f(x)/g(x)}=Lt {f'(x)/g'(x)} So you'll need to differentiate both numerator n denominator separately!

Answer 10

Okay I got my answer. -1?

Answer 11

Answer should be 4