PLEASE HELP The function f is continuous at x=1.
If f(x)= (√(x+3)-√(3x+1))/(x-1), for x NOT = 1
k, for x=1
Then k=?
1.) 0
2.) 1
3.) (1/2)
4.)(-1/2)
5.) none of the above
explanation would be greatly appreciated

Question

PLEASE HELP The function f is continuous at x=1.
If f(x)= (√(x+3)-√(3x+1))/(x-1), for x NOT = 1
            k, for x=1
Then k=?
1.) 0
2.) 1
3.) (1/2)
4.)(-1/2)
5.) none of the above
explanation would be greatly appreciated

alekos · Answer

In order to find k we need to find the Lim x->1 of f(x)

are you familiar with evaluating limits of the type 0/0  ?

anonymous · Answer

i am not can you please explain?

alekos · Answer

have you heard of L'Hopitals's rule?

anonymous · Answer

never, I'm only in ap calc ab

anonymous · Answer

see there isn't a feature like this on this website but there is supposed to be a bracket on the left of    (√(x+3)-√(3x+1))/(x-1), for x NOT = 1
                   k, for x=1

anonymous · Answer

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