Question

Find the limit of the function algebraically.

Answer 1

@ajprincess @chihiroasleaf @hartnn @ParthKohli @phi @RadEn @satellite73 @sauravshakya

Answer 2

use L'hopital rule

Answer 3

can u show me

Answer 4

factor, cancel, replace \(x\) by \(5\)

Answer 5

can u derive for the numerator and the denominator ?

Answer 6

\[\frac{x^2-25}{x-5}=\frac{(x+5)(x-5)}{x-5}=x+5\]

Answer 7

put \(x=5\) and get \(5+5=10\)

Answer 8

so 10

Answer 9

yeah it is just a line with a hole in it at \((5,10)\) so essentially that expression is really just \(x+5\)

Answer 10

but to choose from the above options, 10?

Answer 11

yup

Answer 12

ty :)

Answer 13

If you are studying limits, this video is helpful
http://www.khanacademy.org/math/trigonometry/limit_topic_precalc/limits_precalc/v/introduction-to-limits--hd

Answer 14

@nitz

Answer 15

@ajprincess @chihiroasleaf @hartnn @ParthKohli @phi @RadEn @satellite73 @sauravshakya

Answer 16

u are right @sammy90210
the answer is 10