Question

Given that f(x) = ((sqrt(x+1)-2))/(x-3), define the function f(x) at 3 so that it becomes continuous at 3?

Answer 1

multiply and divide by sqrt(x+1) + 2

Answer 2

u get
(x-3)/(sqrt(x+1) +2)(x-3)

Answer 3

x-3 cancels out

Answer 4

now plug in 3

Answer 5

so, it's ok ot have the radical in the denom for this?

Answer 6

why is that? is that jsut the way to solve it? thanks!

Answer 7

yes..the ans is 1/4

Answer 8

yeah just a method of solving this kind of a problem

Answer 9

gotcha, so you;re trying to cancel some thing out so the denom doesnt equal zero

Answer 10

yes

Answer 11

thank you!

Answer 12

welcome

Answer 13

can you pls look at this q?
Given: as x goes to c for all functions[ f(x)=2; g(x)=0, h(x)=3] evaluate the limit as x goes to c for: h(x)/(x-c)

Answer 14

It's posted< i assume there is any easy trick that I am missing

Answer 15

infinity id say