## 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

What is Identities and Contradictions ? Look at this equation: x + 1 = 1 + x It happens to be true always, no matter what the value of x. (Try it out! What if x is 43?)

#### Invertible Matrices - Logical equivalence, 10 statements must be shown to b...

10 statements must be shown to be logically equivalent to the Statement the nxn matrix is invertible.

#### Marketing concepts, definition of core marketing concepts

definition of core marketing concepts

#### Find ways in which prizes are distributed between student, Find out the num...

Find out the number of ways in which 5 prizes can be distributed among 5 students such that  (a)   Each student may get a prize. (b)  There is no restriction to the number o

#### How far off shore is the sinking ship, A sinking ship signals to the shore ...

A sinking ship signals to the shore for assistance. Three individuals spot the signal from shore. The ?rst individual is directly perpendicular to the sinking ship and 20 meters in

#### Eigenvalues and eigenvectors, If you find nothing out of this rapid review ...

If you find nothing out of this rapid review of linear algebra you should get this section.  Without this section you will not be capable to do any of the differential equations wo

#### Systems of equations, Since we are going to be working almost exclusively a...

Since we are going to be working almost exclusively along with systems of equations wherein the number of unknowns equals the number of equations we will confine our review to thes

how to find

#### Geometry problems, if a circles diameter is 42 mm its radius is ___________...

if a circles diameter is 42 mm its radius is _________________ because ________________________.

#### Fundamental sets of solutions, The time has at last come to describe "nice ...

The time has at last come to describe "nice enough". We've been using this term during the last few sections to explain those solutions which could be used to form a general soluti  