Posted by teamcaridee on Sunday, October 22, 2006 at 6:33pm.
My a.p. calculus teacher doesn't know how to do this problem (like many others) so he's giving us 5 points extra credit on our test if we can figure it out, but I don't know how to do it:
It's as the lim>infinity
(x+sinx)/(x+cosx)
We know the answer is 1 because it's in the back of the book but do not know how to get that answer. Yeah he ticks me off with not knowing his own material but can anyone help me?

calculus  54305, Tuesday, October 22, 2013 at 5:12pm
Sin(x) and cos(x) are periodic functions, and the value of these function have the range of 0 to 1. The result of x+(these function) will mainly be the value of x itself.
As x approaches infinity, the effect of sin(x) and cos(x) will become smaller and smaller.
Therefore, the limit of (x+sinx)/(x+cosx) will approach one.
Answer This Question
Related Questions
 Algebra 1  Your math teacher tells you that next week's test is worth 100 ...
 a.p. calculus help please!  My a.p. calculus teacher doesn't know how to do ...
 Calculus  This is a problem we did previously on a test; my answer was marked ...
 precalculus  Currently in school we're learning about proving identities and ...
 LA i think?  I am doing this homophone extra credit sheet and if my paper is in...
 My Grades  My math grade is an B+ should I do a retake for extra credit? This ...
 Calculus  My teacher showed our class how to find the graph of a derivative ...
 Calculus  26. Find all points of inflection. f(x) = (5x3)^(1/3) Note: I have ...
 calculus  I need help with this calculus problem. H(S)=S/(1+S) If F 1/2, 1/2...
 CalculusDerivatives  You have been asked to determine whether the function f(x...
More Related Questions