Question

lim (sqrt(x+6)-sqrt6)/x

Answer 1

x approaches 0

Answer 2

Same problems lol @dchenao

Answer 3

@rana ican you solve it? it is part of the first question, i just forgot to mention it.

Answer 4

Have you considered "rationalizing" the numerator?

Answer 5

I'm stuck on that part @tkhunny

Answer 6

multiply by the conjugate

Answer 7

conjugate is the opposite factor

like, the conjugate of (a+b) is (a-b). when you multiply by the conjugate, you get a form of a^2 - b^2, which eliminates some terms. that elimination of terms will make this limit solvable

Answer 8

Im having trouble with the arithmetic

Answer 9

no problem, radicals always tend to just... be confusing, especially when there are lots of steps