Home
Class 12
MATHS
Find the values of k so that the functio...

Find the values of k so that the function f is continuous at the indicated point in`f(x)={{:((kcosx)/(pi-2x), ifx!=pi/2 ),(3, ifx=pi/2):}` at `x=pi/2`

Text Solution

AI Generated Solution

To find the values of \( k \) so that the function \[ f(x) = \begin{cases} \frac{k \cos x}{\pi - 2x}, & \text{if } x \neq \frac{\pi}{2} \\ 3, & \text{if } x = \frac{\pi}{2} \end{cases} ...
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the values of k so that the function f is continuous at the indicated point in f(x)={{:(k x^2, ifxlt=2),(3, ifx >2):} at x = 2 .

Find the values of k so that the function f is continuous at the indicated point in f(x)={{:(k x+1, ifxlt=pi),( cosx , ifx >pi):} at x =pi

Find the values of k so that the function f is continuous at the indicated point in f(x)={{:(k x+1, ifxlt=5),( 3x-5, ifx >5):} at x = 5

Find the value of the constant k so that the given function is continuous at the indicated point: f(x)={k x+1,\ \ \ if\ xlt=picosx ,\ \ \ if\ x >pi at x=pi

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

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

Examination the function f(x) given by f(x)={((cosx)/(pi/2-x) ,, x != pi/2),(1 ,, x = pi/2):} ; for continuity at x=pi/2

Find the derivative of the function at the indicated point: sin x \ 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 x=pi .

Find all points of discontinuity of f, where f is defined by f(x)={{:(2x+3, ifxlt=2), (2x-3, ifx >2):}