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rainbow22
 3 years ago
find limit to infinity
4x sin (1/x)
Answer is 4
rainbow22
 3 years ago
find limit to infinity 4x sin (1/x) Answer is 4

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Algebraic!
 3 years ago
Best ResponseYou've already chosen the best response.0multiply by (1/x)/(1/x)

ivanmlerner
 3 years ago
Best ResponseYou've already chosen the best response.1Or define y=1/x where y tends to 0, and you get the basic limit of (sin x)/x

rainbow22
 3 years ago
Best ResponseYou've already chosen the best response.0Can you please show me how to do it?

ivanmlerner
 3 years ago
Best ResponseYou've already chosen the best response.1that is it, there is nothing else, it is know that lim when y > 0 of (sin x)/x is 1: look at the picture.dw:1347580779959:dw

ivanmlerner
 3 years ago
Best ResponseYou've already chosen the best response.1The arc lenght and the sin get praticaly equal, and in the limit they coincide, when you substitute what I said you get this limit, wich is 1, times 4.
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