SOLUTION: Show that {{{(lim)x->0}}} {{{ ((x^2)/(x^2+9))cos(2/x) }}} exists. Please show the steps needed in order to solve.
Thank you
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-> SOLUTION: Show that {{{(lim)x->0}}} {{{ ((x^2)/(x^2+9))cos(2/x) }}} exists. Please show the steps needed in order to solve.
Thank you
Log On
Move into the numerator of the rational function factor.
Then use the fact that the limit of a quotient is the quotient of the limits of the numerator and denominator. The denominator limit is trivial, but you will have to use the Squeeze Theorem for the numerator.
Note that therefore
Hence your numerator limit is the meat on a sandwich made out of zero bread.
John
My calculator said it, I believe it, that settles it
