Question

Which of the following functions is continuous at x = 2?
The answer choices are attached in a pic below:

Answer 1

@ganeshie8

Answer 2

I know its either b or c, but not a or d :)

Answer 3

@ganeshie8

Answer 4

factor numerator and cancel

Answer 5

(x^2-4)/(x-2) = x+2

yes ?

Answer 6

yes :) so we would cross out the x-2 and get x+2=x+2?

Answer 7

ohhhh im sorry no no i understand you meant that's what we get after factoring

Answer 8

plugin x = 2

f(x) = x+2
f(2) = 2+2 =4
but in option B you have f(2) = 3

so clearly the function defined in option B is not continuous

Answer 9

ohh got it! i think i got: c :)

Answer 10

C is right!