Need help with solving this limit.

Need help with solving this limit.

Postby Guest » Wed Jan 08, 2020 3:32 pm

I’m struggeling, with the result of this limit. Especially “cos(x)^3”. Can someone explain what does it mean? According to my professor it means “cos^3(x), she is basically saying that cos(x)^3 = cos^3(x). I don’t think that it’s correct assumption. Can someone explain conventions of using paranthesis in this case. Thank you so much!!

NOTE: I know the calculus, I know how to use powered cos, sin etc. and I know that cos^3(x) is different from cos(x^3).
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Re: Need help with solving this limit.

Postby HallsofIvy » Thu Jan 09, 2020 10:19 am

The point is that, since the exponent is outside the parentheses, it cannot apply to the x. The only thing left to apply it to is the function, cosine. Personally, I would prefer [tex]cos^2(x)[/tex] or even [tex](cos(x))^2[/tex].

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