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skelet666 [1.2K]
3 years ago
12

Prove that lim x->0 cos(1/x) does not exist.

Mathematics
1 answer:
Annette [7]3 years ago
5 0
The limit of the function cos(1/x)  as x approaches zero can be determined by substituting x with zero to the expression given. IN this case, 1/0 is equal to infinity. Using the rule of cosines, the maximum value of the cosine expression is 1. Hence the limit should be 1.
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How do i do 13 A and 13 C
Paladinen [302]
\bf c^2=a^2+b^2\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\ side\\
b=opposite\ side\\
-------------\\
\textit{since they're equal}\\
\textit{let's call them "u"}\\
a=u\qquad since\qquad a=b\\
b=u\\
--------\\

c=850
\end{cases}
\\ \quad \\
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\\ \quad \\
\sqrt{\cfrac{850^2}{2}}=u\implies 
\begin{cases}
\sqrt{\cfrac{850^2}{2}}=a\\\\
\sqrt{\cfrac{850^2}{2}}=b
\end{cases}

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