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

Question

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

x-3 cancels out

anonymous · Answer

now plug in 3

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

yes..the ans is 1/4

anonymous · Answer

yeah just a method of solving this kind of a problem

anonymous · Answer

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

anonymous · Answer

yes

anonymous · Answer

thank you!

anonymous · Answer

welcome

anonymous · Answer

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)

anonymous · Answer

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

anonymous · Answer

infinity id say