State whether the function is continuous at the indicated point. If it is not continuous, tell why. 36-9x/x-4 ; x=4
A) Not continuous, f(4) does not exist
B) Not continuous; lim x-4 f(x) does not exist
C) Not continuous; lim x-4 f(x) and f(4) exist but lim x-4 f(x) different from f(4)
D) Continuous

Question

State whether the function is continuous at the indicated point. If it is not continuous, tell why.  36-9x/x-4 ; x=4
A) Not continuous, f(4) does not exist
B) Not continuous; lim x->4 f(x) does not exist
C) Not continuous; lim x->4 f(x) and f(4) exist but lim x->4 f(x) different from f(4)
D) Continuous

bahrom7893 · Answer

is x-4 the whole thing in the denominator?

anonymous · Answer

yes

anonymous · Answer

You can devide anything by zero

anonymous · Answer

what makes the denominator 0?

bahrom7893 · Answer

and is 36-9x the whole thing in the numerator?

anonymous · Answer

yes

bahrom7893 · Answer

it has a removable discontinuity at that point

anonymous · Answer

which is -9

bahrom7893 · Answer

yeah

anonymous · Answer

but i dont know which of the options fits my answer

bahrom7893 · Answer

yeah, let me check right and left hand limits

anonymous · Answer

i think is A, but i am not sure

anonymous · Answer

ok

bahrom7893 · Answer

its B

bahrom7893 · Answer

limit doesnt exist, because if u approach 4 from the left, theoretically, you will get some negative number and if u apporach from right - positive

bahrom7893 · Answer

want me to show u the work?

bahrom7893 · Answer

go here: http://www.twiddla.com/499656

anonymous · Answer

I can just update my work there?

bahrom7893 · Answer

no just click on that link, im there its like a whiteboard

anonymous · Answer

aah got it

anonymous · Answer

im there