Asked by Katie

How do you find the lim as x->infinity of (x+sin(x))/(x+cos(x))??
Answered by bobpursley
divide numerator and denominator by x

lim (1+sinx/x)/(1+cosx/x) which is 1
Answered by Katie
I don't understand how you got from lim (1+sinx/x)/(1+cosx/x) to the answer. I know that sinx/x is 1 so would the top be 2?
Answered by bobpursley
NO. lim sinx/x when x=1 approaches zero, but this is lim x>>inf so lim is zero.
Answered by Katie
Thank you.
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