Question

lim x approaches 0 (sqrt(1+2x)-sqrt(1-4x))/(x)

Answer 1

are you trying to find out what the limit is?

Answer 2

yes

Answer 3

oh i figured it out

Answer 4

i was overthinking the damn problem

Answer 5

lim x->o ((1-2x)^-(1/2) + 2(1-4x)^(-1/2)

plugging in 0: 1 +2 = 3

Answer 6

Ok when you look at the exponents, the expression is (.5)/1. This type of expression is similar to a 1/x function, whose limit goes to infinite or undefined. i would say its the same case O.o. excuse me if i'm wrong, my calculus is really shoddy atm.

Answer 7

you cant plug in zero because you cant divide with 0.

Answer 8

no you have to use l hoptial's rule

Answer 9

which means that if you plug in 0 for the underived term you get 0/0 which is indeterminate.

Answer 10

oh yea my bad you're right. i forgot about these rules >.<

Answer 11

so you have to apply l'hoptial's rule which basically means that you can derive the numerator and denominator w/o using the quotient rule.

Answer 12

yea np lol

Answer 13

alright well, thx for helping me out anyway