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 one year ago
If possible, choose k so that the following function is continuous on any interval (equation in post).
 one year ago
If possible, choose k so that the following function is continuous on any interval (equation in post).

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Honour
 one year ago
Best ResponseYou've already chosen the best response.1\[f(x)=\left[\begin{matrix}kcos(x), & x \le0 \\ 10e^{x}k,&0< x \end{matrix}\right]\]

rebeccaskell94
 one year ago
Best ResponseYou've already chosen the best response.0I haven't passed 4th grade math yet.

Honour
 one year ago
Best ResponseYou've already chosen the best response.1Oh that's ok then (= thanks anyhow

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1do you know the basics of continuity ?

Honour
 one year ago
Best ResponseYou've already chosen the best response.1that the line must contiously go and still be a function (one to one) =P if that's what you mean

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1i meant, if f(x) is continuous, at x=0, \[\lim \limits{x \rightarrow 0^} f(x)=\lim \limits{x \rightarrow 0^+f(x)}\]

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1do you you something like that ^ ?

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1for x>0 , since x<0, select k cos x and put x=0 for x>0+ , since x>0, select 10e^xk and put x=0

Honour
 one year ago
Best ResponseYou've already chosen the best response.1Honestly that is all I know

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1when x>0, lim kcos x = k cos 0 = k when x>0+, lim 10e^xk = 10e^0k =10 k for continuity k=10k can you find k from here ?

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1just add k to both sides.
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