The function is defined by f(x) = {(kx+1...

The function is defined by `f(x) = {(kx+1,if, x lepi),(cos x,if, x gt pi):}` at `x = pi`.

Text Solution

Verified by Experts

The correct Answer is:

`k=-2/pi`

Topper's Solved these Questions

CONTINUITY AND DIFFERENTIABILITY
MODERN PUBLICATION|Exercise EXERCISE 5(b) (LONG ANSWER TYPE QUESTIONS (I))|17 Videos
CONTINUITY AND DIFFERENTIABILITY
MODERN PUBLICATION|Exercise EXERCISE 5(c) (SHORT ANSWER TYPE QUESTIONS)|34 Videos
CONTINUITY AND DIFFERENTIABILITY
MODERN PUBLICATION|Exercise EXERCISE 5(a) (SHORT ANSWER TYPE QUESTIONS)|52 Videos
APPLICATIONS OF THE INTEGRALS
MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
DETERMINANTS
MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

Similar Questions

Explore conceptually related problems

The vaue of lamda so that the function f defined as f = {{:(lamda x"," , x le pi),(cos x"," ,x gtpi):} is cotinuous at x = pi is :

A function is defined as f(x) = {{:(e^(x)",",x le 0),(|x-1|",",x gt 0):} , then f(x) is

If the function f(x)={{:(kx+1", if "xlepi),(cosx", if "xgtpi):} is continuous at x=pi , then the value of 'k' is :

Find the value of k so that the function f defined by f(x)={(kcosx)/(pi-2x),3 , "if" x !=pi/2"if" x=pi/2 is continuous at x=pi/2

Discuss the continuity of the function f(x) ={:{((1+cos x)/(tan^2 x) ", "x ne pi),((1)/(2) ", " x=pi):}, at =pi .

The function f(x) = (1-sin x + cos x)/(1+sin x + cosx) is not defined at x = pi . The value of f(pi) , so that f(x) is continuous at x = pi is

A function f is defined by f(x)=x^(x) sin x in [0,pi] . Which of the following is not correct?

The function f(x) = sin x - x cos pi is

If f(x) = {(ax+1,",",x le (pi)/(2)),(sin x+ b,",",x gt (pi)/(2)):} is continuous at x = (pi)/2 , then

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5(a) (LONG ANSWER TYPE QUESTIONS (I))

Discuss the continuity of f(x) at x = 0 if : f(x)={{:((sqrt(1+x)-sqr...
Text Solution
|
f(x) = {{:(kx^(2)"," if x le 2),(3", " if x gt 2):} at x = 2
Text Solution
|
The function is defined by f(x) = {(kx+1,if, x lepi),(cos x,if, x gt p...
Text Solution
|
If the function f(x) = {(kx + 5 ", when " x le 2),(x -1 ", when " x gt...
Text Solution
|
f(x)={{:(3k-2x", when "xlt1),(2k+1", when "xge1):} at x = 1
Text Solution
|
f(x)={{:(3x-8, if x le 5),(2k, if x gt 5) :} at x = 5
Text Solution
|
f(x)={{:((x-1)/(x+1)", "xne1),(lamda-1","x=1):} at x = 1.
Text Solution
|
f(x) = {{:((1-cosAx)/(x sinx), if x ne 0),(1/2, if x = 0):} at x = 0
Text Solution
|
If the function f(x)={{:((1-cos(ax))/(x^2)," when "xne0),(1," when "x=...
Text Solution
|
f(x)={{:((sin2x)/(5x)",when "xne0),(m", when "x=0):} at x = 0
Text Solution
|
Let f(x)={:{((kcosx)/(pi-2x)',xne(pi)/(2)),(3",",x=(pi)/(2).):} If l...
Text Solution
|
f(x) = {{:((k cosx )/((pi - 2x)"," if x ne (pi)/(2))),(3"," if x = (p...
Text Solution
|
f(x)={{:((x^(2)-9)/(x-3)",when "xne3),(k", when "x=3):} at x = 3
Text Solution
|
f(x)={{:(((x+3)^(2)-36)/(x-3)", "xne3),(k" , "x=3):} at ...
Text Solution
|
For what value of 'k' is the function defined by : f(x)={{:(k(x^(2)+...
Text Solution
|
If the function defined by : f(x)={{:(2x-1", "xlt2),(a", "x...
Text Solution
|
Given that , f(x)={{:((1-cos4x)/(x^(2)),"if "xlt0),(" a ","if "x=0)...
Text Solution
|
Find the values of a and b such that the function defined by f(x) = ...
Text Solution
|
Determine the constants 'a' and 'b' so that the function 'f' defined b...
Text Solution
|
Determine the constants 'a' and 'b' so that the function 'f' defined b...
Text Solution
|