Limits to infinity of fractions with trig functions

by Yoshitaka Goto
(Lynnwood, WA)

The problem is as follows:

d(t)= 100 / 8+4sin(t)
Find the limit as t goes to infinity.
It is assumed that t>0.

How would this work?
I know that lim t->inf sin(x) = DNE.

But I am told that there IS a numerical answer.

Answer by Pablo:

Hello Yoshitaka, you are absolutely right, this limit does not exist, as the function d is periodic, just as sin(t). You may try to convince yourself (or whoever told you there is a numerical answer) by plotting the function.

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