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

Ordinary differential equation, find the normalised differential of the fol...

find the normalised differential of the following {1,x,x^3}

Properties of radicals, If n is positive integer greater than 1 and a & b b...

If n is positive integer greater than 1 and a & b both are positive real numbers then, Consider that on occasion we can let a or b to be negative and yet have these propert

Define histogram, Q. Define histogram? Ans. A histogram is a bar g...

Q. Define histogram? Ans. A histogram is a bar graph that gives the frequency of each value. Here are a few examples to illustrate the usefulness of this method of data r

Diffrential integral , All the integrals below are understood in the sense ...

All the integrals below are understood in the sense of the Lebesgue. (1) Prove the following equality which we used in class without proof. As-sume that f integrable over [3; 3]

Prove that abc=60 degree, ABC is a right triangle right-angled at C and AC=...

ABC is a right triangle right-angled at C and AC=√3 BC. Prove that ∠ABC=60 o . Ans:    Tan B = AC/BC Tan B = √3 BC/BC Tan B =√3 ⇒ Tan B = Tan 60 ⇒ B = 60

What is the maximum number calories which consume from fats, Josephine is o...

Josephine is on an 1,800 calorie per day diet. She tries to remain her intake of fat to no more than 30% of her overall calories. Based on an 1,800 calorie a day diet, what is the

Find out the determinant, Find out the determinant: Find out the deter...

Find out the determinant: Find out the determinant of the following 3 x 3 matrix, expanding about row 1. Solution:

Indicestitle.., Advantages and disadvantages of paasche indices

Advantages and disadvantages of paasche indices

Arc Length and Sector Area, how do i find the diameter of a circle if i hav...

how do i find the diameter of a circle if i have the shaded sectors area of 263.76 and the central angle of that circle is 210 degrees?

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