Question

can you help me to solve this limit, please

Answer 1

duno how to get there. please show the work

Answer 2

Multiply top and bottom by sqrt(x)+sqrt(3) and try once you do that :P

Answer 3

Rationalize !!!

Answer 4

we did that, the the indetermination doesnt vanish.

Answer 5

hmm both numerator and denominator.....

Answer 6

yeah but rationalizing the denominador is not useful, coz you end up with x-3. if you apply x=3 (the limit) appears another indetermination

Answer 7

umm...maybe l'hospital

Answer 8

Do you know L'Hospital Rule ?

Answer 9

can i apply the L'hopital rule with limits? dunnot about that

Answer 10

Yea You can

Answer 11

Differentiate both Numerator and Denominator

Answer 12

Im not using differenciation yet

Answer 13

oh hmm Okay

Answer 14

http://www.wolframalpha.com/input/?i=lim+x+-%3E+3+++%28sqrt%28x%2B5%29+-+sqrt8+%29%2F%28sqrtx+-+sqrt3%29

Answer 15

L'Hospital seems the Only way