Question

Help with L'hopitals?

Answer 1

lim x→0 (3x + sin x)/(6x + cos x)

Answer 2

so did you differentiate the numerator and denominator separately ?

Answer 3

Yes. I get 3+cosx/ 6-sinx

Answer 4

correct!

Answer 5

now you can just plug in x= 0 in that :)

Answer 6

I get 2/3 but the answer says 0?

Answer 7

oh wait!

Answer 8

you don't need L'Hopital's here!
you can directly put x=0 in the original function
and you do not get a 0/0 or infinity/infinity form!

Answer 9

you know right ?
that we use LH rule only if we have 0/0 or infinity/infinity form ?

Answer 10

Is it okay to use this rule when you have a number/0 ?

Answer 11

nopes, LHrule can be used only with these 2 forms
0/0 and infinity/infinity

Answer 12

a positive number /0 = +infinity
a negative number /0 = -infinity

Answer 13

Okay, thank you!

Answer 14

welcome ^_^