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math456 Group TitleBest ResponseYou've already chosen the best response.0
\[f(x)=(x+2x ^{3})^{4}\] a=1
 one year ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
@myko @Champion
 one year ago

myko Group TitleBest ResponseYou've already chosen the best response.1
what's the question?
 one year ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
Us the definition of continuity and the properties of limits to show that the function is continuous at the given number a.
 one year ago

myko Group TitleBest ResponseYou've already chosen the best response.1
you have to show that: \[\lim _{x>1} f(x)=f(1)\]
 one year ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
ohh so all i hv to do is to plug in 1 in the f(x) function?
 one year ago

myko Group TitleBest ResponseYou've already chosen the best response.1
that for f(1). Later use the fact that lim(x+2x^3) = lim x + lim 2x^3 and lim x>a f(g(x))= f(g(a))
 one year ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
so is it 81?
 one year ago

myko Group TitleBest ResponseYou've already chosen the best response.1
it doesn't asks you for the value, it just say "show it continuous"
 one year ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
oh okay! thank you
 one year ago
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