[MATH 1271] - Midterm Exam Guide - Everything you need to know! (272 pages long)
Document Summary
Need to use trig identity by trig identity by factoring still has form 0/0 by limit laws provided that both limits exist (since lim h->0 sees as a constant) both limits have form 0/0. We will use squeeze theorem on lim h->0 sin(h)/h. 1st quadrant of unit circle arc of a circle of radius r, angle (radians) arc length=r* . *sin( ) by dividing (ok since >0) so u( )=1 upper bound function still need lower bound by right triangle trig, tan( )=c/1=c from picture, c>=a tan( )>= sin( )/cos( ) >= sin( )>= cos( ) sin( )/ >=cos( ) So l( )=cos( ) so: ok since cos( )>0 ok since >0 when >0, small by continuity so by squeeze theorem, what the flying fuck. Riemann sums example need to find a,b,f so- a+2 =b so f(x)=sin(x) means the signed area area l sub 4 gives us the exact signed area between the graph of f and the x-axis on.
