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anonymous
 5 years ago
if f(x) = x^{3} +8 / X+2 is continuous at x= 2, then f(2)=?
help?
anonymous
 5 years ago
if f(x) = x^{3} +8 / X+2 is continuous at x= 2, then f(2)=? help?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0If it was continuous, then the limit as x tended to 2 of f(x) would be equal to f(2)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Just take that limit. Note that x^3+8 can be written as (x+2) (x^22x+4)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thank you sooo much. Can I bother you with one more problem?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\lim_{n \rightarrow 0} \sin 3x/ \sin2x\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0chaguanas gave the method the previous time you asked it. Essentially divide top and bottom by 3x. But for the numerator, factor out a value such that you get sin(2x)/2x and we know that lim x>0 sin(nx)/n=0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0For the denominator i mean

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Xavier, I'm still trying to figure out how you changed x^3+8 to (x+2) (x^22x+4)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I prayed that (x+2) is a factor and divided.
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