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

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

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

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

math456 Group TitleBest ResponseYou've already chosen the best response.0
so is it 81?
 2 years 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"
 2 years ago

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