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

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

Posted Date: 3/11/2013 7:47:48 AM | Location : United States







Related Discussions:- How to solve lim 1-cos(x)/1-cos(4x) as x tends to zero, Assignment Help, Ask Question on How to solve lim 1-cos(x)/1-cos(4x) as x tends to zero, Get Answer, Expert's Help, How to solve lim 1-cos(x)/1-cos(4x) as x tends to zero Discussions

Write discussion on How to solve lim 1-cos(x)/1-cos(4x) as x tends to zero
Your posts are moderated
Related Questions
Model of 180 meter tall building using a scale of 1.5 centimeters = 3.5 meters. How tall will the model be?

Unit Vector and Zero Vectors Unit Vector Any vector along with magnitude of 1, that is || u → || = 1, is called a unit vector. Zero Vectors The vector w → = (

S olve the subsequent IVP. dv/dt = 9.8 - 0.196v;               v(0) = 48 Solution To determine the solution to an Initial Value Problem we should first determine the gen


A bag holds 3 red, 6 blue, 5 purple, and 2 orange marbles. One marble is selected at random. What is the probability in which the marble chosen is blue? The probability of blue

Inverse Tangent : Following is the definition of the inverse tangent.  y = tan -1 x     ⇔ tan y = x                     for            -∏/2 ≤ y ≤ ?/2 Again, we have a limi

Mary has $2 in her pocket. She does yard work for four various neighbors and earns $3 per yard. She then spends $2 on a soda. How much money does she have left? This translates

Case 1: Suppose we are given expressions like 3abc and 7abc and asked to compute their sum. If this is the case we should not worry much. Because adding like exp

Binormal Vector - Three Dimensional Space Next, is the binormal vector.  The binormal vector is illustrated to be, B → (t) = T → (t) * N → (t) Since the binormal vecto

A garden in the shape of a rectangle is surrounded through a walkway of uniform width. The dimensions of the garden only are 35 by 24. The field of the garden and the walkway toget