Question

limit as t approaches 0 of {[(sq. rt) of (t+4)] - 2} / t

Answer 1

ok so sqrt(t+4) will approach what value as t approaches zero?

Answer 2

what do you mean approaching what value?

Answer 3

if t gets really small what happens?

Answer 4

im trying to find the limit of a vector function of a certain component

Answer 5

i honestly have no idea..i havent had math since my senior year of high school and im lost trying to find out how to find the limit.

Answer 6

i think you do it the same way as if it were a regular number.

Answer 7

it just keeps getting closer and closer to zero..it never equals zero?

Answer 8

It can't equal zero because of the bottom piece, but the limit is equal to zero. It doesn't matter that it can't equal zero

Answer 9

i know the bottom piece cannot equal zero...but how do i solve the problem?

Answer 10

I don't think it matters, since the top approaches zero the whole thing approaches zero

Answer 11

the limit does not exist?

Answer 12

the limit does exist. is this the function? http://www.wolframalpha.com/input/?i=limit+%28sqrt%28t%2B4%29-2%29%2Ft

Answer 13

yes. so how did you come to find the limit does not exist? i want to be able to comprehend why..

Answer 14

the limit does exist

Answer 15

ok