How to solve lim 1-cos(x)/1-cos(4x) as x tends to zero, Mathematics

Assignment Help:

Use L''hopital''s rule

 since lim X-->0  1-cos(x)/1-cos(4x)  is in the indeterminate form 0/0 when we apply the limt

so by l''hoptital''s rule differentiate the numerator and denominatior

so we get lim x-->0  sin(x)/4sin(4x)   again in the indeterminate form when we apply limit so again use l''hopitals'' rule

lim x-->0 cos(x)/16cos(4x)  now if u apply the limit we get it as 1/16

so lim x--->0 1-cos(x)/1-cos(4x) = 1/16


Related Discussions:- How to solve lim 1-cos(x)/1-cos(4x) as x tends to zero

They preferred comedies, A survey was done where a random sample of people ...

A survey was done where a random sample of people 18 and over were asked if they preferred comedies, dramas, or neither. The information gathered was broken down by age group and t

Build an equation for a hyperboloid of two sheets, 1. Build an equation for...

1. Build an equation for a hyperboloid of two sheets with the following properties: a. The central axis of the hyperboloid is the y-axis b. The two sheets are 4 units apart, an

Integration-mathematics, Integration Integration is the reversal of di...

Integration Integration is the reversal of differentiation An integral can either be indefinite while it has no numerical value or may definite while have specific numerical v

..compound intrest, tell me about the software of compound intrest?

tell me about the software of compound intrest?

Fractions, how do you divide fractions?

how do you divide fractions?

Determine the measurements of segments and angles, Determine the Measuremen...

Determine the Measurements of Segments and Angles Postulate 1.5 (The Distance Postulate) There is a unique positive number corresponding to every pair of points. Pos

Total accumulation of the amount deposited in saving account, A bank pays o...

A bank pays on its savings an interest rate of 6% per year but compounds interest monthly (i.e., estimates the interest each month and adds it to the balance).  You plan to deposit

Generic rectangle puzzle solve, What do you need to multiply 30 by to get 1...

What do you need to multiply 30 by to get 1500? This will give you the top edge length of the rectangle. Can you then figure out what must go below the 30 in order to get the area

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd