can you solve this analytically......
sin x/ 5x as x approaches 0
best answer with steps gets 10 points!!!
2006-09-18 13:06:33 · 3 answers · asked by Anonymous in Education & Reference ➔ Homework Help
Ok, let's see:
This is a zero over zero condition (numerator and denominator).
You need to apply L'sHospital (derivative of the numerator and denominator),
dx(sin x) = cos x
dx(5x) = 5
so, the limit as x goes to zero = cos(0)/5 or 1/5
Good luck!
2006-09-18 13:09:42 · answer #1 · answered by alrivera_1 4 · 1⤊ 0⤋
Sin X -> 0 as X -> 0
5*X -> 0 as X -> 0
So, you have a 0/0 situation...
Now you have to figure out whether Sin X or 5X approaches 0 faster as X -> 0
(I'll cheat for the rest... See link)
2006-09-18 13:08:59 · answer #2 · answered by nondescript 7 · 1⤊ 0⤋
try math.com they have tutors and homework help on this website. i hope this helps
2006-09-18 13:08:08 · answer #3 · answered by kimber1731 2 · 1⤊ 0⤋