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Sandwich Theorem

Use the sandwich theorem to find the limit of {(cos(n))/(10n^2)}

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Jacob R. | All Math Subjects, SAT, GRE, MATLABAll Math Subjects, SAT, GRE, MATLAB
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Since 0 <= cos(n) <= 1, therefore
 
0/(10n^2) <= cos(n)/(10n^2) <= 1/(10n^2)
 
Now, find the limits to the sequences on the left and right:
 
lim {0/(10n^2)} = lim{0} = 0
 
lim{1 / (10n^2)} = 0
 
Therefore, the sandwich theorem holds that the limit of cos(n)/(10n^2) is also 0.