Recent content by burge
-
B
Undergrad How can I evaluate limits involving trig functions?
I got that one now, I'm really stuck on (sin² 3x)/2x Also, I know there is a trick for finding it in the calculator, since there is no sin² button, but I don't remember it. -
B
Undergrad How can I evaluate limits involving trig functions?
We know that sin and cos are continuous, the lim as x-> 0 (sin (x))/x = 1 the lim as x-> 0 (1 - cos(x))/x = 0 and some basic trig identities -
B
Graduate What is the limit of [cot(\pi x)sin(x)]/2sec(x) as x approaches 0?
How did you get to that? -
B
Graduate What is the limit of [cot(\pi x)sin(x)]/2sec(x) as x approaches 0?
Stuck here too: lim as x -> 0 of [cotPxsinx]/2secx *P = pi *Thanks for your help -
B
Undergrad How can I evaluate limits involving trig functions?
I am having trouble with the following problems: 1) lim as x -> 0 of (sin 3x)/2x 2) lim as x -> 0 of (tan 5x)/(sin 2x) 3) lim as x -> 0 of (sin²3x)/2x 4) lim as h -> 0 of [(h+x)³ -x³]/h 5) lim as h -> 0 of [1/(x+h) - 1/x]/h *Thanks for your help