what is the limit of (tan x)/4x with x approaching 0?

Question

Help please. My math group says I must take a derivative of it, but can you just take a derivative is the question is to calculate a limit? I'm thinking it is 0/0 = infinity.

Your Answer · Accepted Answer

limit of (tan x)/4x with x approaching 0 
= (1/4) limit of (tan x)/x with x approaching 0
= 1/4 ANSWER as limit of (tan x)/x with x approaching 0 is 1.

? · Answer

right here that's a 0/0 variety so employing the L'well-being facility,s rule that's lim(x-->0){f(x)/g(x)}=lim(x-->0){f'(x)... the place f' and g, are derivatives of f and g. so employing this rule: Lim x--> 0 tanx/4x = limx-->0 sec^2x/4 = a million/4.

zaira · Answer

thats is 1
 tanx=>(sinx/cosx)/x=>sinx/cosx(x)   as sinx/x    as x ------>0=1 so cos(0)=1 thats why the answer will be 1

Engr. Ronald · Answer

........tan(x)
lim -----------
x->0..4x

.........sec^2(x)
=lim ---------------
x->0......4

....sec^2(0)
=-----------------.. note sec(0) = 1
.......4

= 1^2/4
= 1/4 answer//

what is the limit of (tan x)/4x with x approaching 0?

4 Answers