If f(x)={((x^(2)-25)/(x-5)" , "xne5...

If `f(x)={((x^(2)-25)/(x-5)" , "xne5),(k" , "x=5):}` is continuous at x=5, then k is equal to:

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

CONTINUITY
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARKS (FILL IN THE BLANKS QUESTIONS (TYPE-II))|8 Videos
CONTINUITY
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARKS (TRUE OR FALSE QUESTIONS (TYPE-III))|13 Videos
CONTINUITY
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|17 Videos
APPLICATIONS OF INTEGRALS
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|17 Videos
DEFINITE INTEGRALS
ACCURATE PUBLICATION|Exercise QUESTION CARRYING 4 MARKS|8 Videos

Similar Questions

Explore conceptually related problems

If f(x)={(kx-1" , "xle5),(3x-5" , "xgt5):} is continuous at x=5 then value of k is:

The value of the constant k so that the function f(x)={((x^(2)-3x+2)/(x-1),",","if "xne1),(k,",","if "x=1):} is continuous at x = 1 is

Find k so that f(x) = {{:((x^2 -25 )/(x -5)"," ,"if " x != 5),(k",","if " x = 5 ):} is continuous at x = 5 .

If f(x)={(kx+2" , "xle5),(3x-4" , "xgt5):} is continuous at x=5 then value of k is:

If f(x)={(2x+3,x,le1),(k,,x>):} is continuous at x=1 then k=

f(x) = {((sin x)/(x),,x,ne,0),(k-1,,x,=,0):} is continuous at x = 0, then k is :

If f(x) = {((sin 5x)/(2x),,x,ne,0),(k,,x,=,0):} is continuous at x = 0 then value of k is :

(i) Given f(x)={((1-cos4x)/(x^(2))" , "xne0),(k" , "x=0):} If f(x) is continuous at x=0, find the value of k. (ii) Given f(x)={((1-cos4x)/(8x^(2))" , "xne0),(k" , "x=0):} If f(x) is continuous at x=0, find the value of k.

ACCURATE PUBLICATION-CONTINUITY-QUESTIONS CARRYING 1 MARKS (MCQ.s (TYPE-I))

limxrarr0 (e^sin x - 1)/x is equal to :
Text Solution
|
limxrarr0 (log (1+x)/sin x is equal to :
Text Solution
|
If f(x)={((x^(2)-25)/(x-5)" , "xne5),(k" , "x=5):} is contin...
Text Solution
|
If f(x) = {((x^2-9)/(x-3),,x,ne,3),(m,,x,=,3):} is continuous at x = 3...
Text Solution
|
If the function f is defined by f(x) = {(3,,x,ne,0),(a+1,,x,=,0):} and...
Text Solution
|
If the function f is defined by f(x) = {(5,,x,ne,0),(a-1,,x,=,0):} and...
Text Solution
|
If f(x)={(kx-1" , "xle5),(3x-5" , "xgt5):} is continuous at ...
Text Solution
|
If f(x)={(kx+2" , "xle5),(3x-4" , "xgt5):} is continuous at ...
Text Solution
|
If f(x)= {(mx+1,,x,le,5),(3x-5,,x,>,5):} is continuous, then the value...
Text Solution
|
If f(x)= {(mx-1,,x,le,5),(3x-5,,x,>,0):} is continuous, then the value...
Text Solution
|
If f(x)= {(kx^2,,x,<,2),(3,,x,ge,2):} is continuous at x = 2, then the...
Text Solution
|
If f(x) ={(kx^2),(3):}, ((x <3),(x ge3)) and f is continuous at x = 3 ...
Text Solution
|
f(x) = {((sin x)/(x),,x,ne,0),(k-1,,x,=,0):} is continuous at x = 0, t...
Text Solution
|
If function defined by : f(x)= {((sin3x)/(2x),,x,ne,0),(k+1,,x,=,0):} ...
Text Solution
|
If function defined by : f(x)= {((sin3x)/(4x),,x,ne,0),(k+1,,x,=,0):} ...
Text Solution
|
If f(x) = {((sin 5x)/(2x),,x,ne,0),(k,,x,=,0):} is continuous at x = 0...
Text Solution
|
The function f(x) = {{:(("sin x")/(x)+ cos x ,if x != 0),(k , if x = 0...
Text Solution
|
The function f(x) = [x], where [x] denotes the greatest integer functi...
Text Solution
|
The number of points at which the function f(x)=(1)/(x-[x]) is not con...
Text Solution
|
The function given by f(x)=tax x is discontinuous on the set
Text Solution
|