Home
Class 12
MATHS
If {(5/2,",", x lt 2),(1,",",x = 2),(x-3...

If `{(5/2,",", x lt 2),(1,",",x = 2),(x-3/2,",",x gt 2):}`, then

A

f(x) is continuous at` x = 2`

B

f(x) is discontinuous at` x = 2`

C

`lim_(x to 2) f(x) = 1`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    TARGET PUBLICATION|Exercise Critical Thinking|80 Videos

  • CONTINUITY

    TARGET PUBLICATION|Exercise Competitive Thinking|63 Videos

  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

Similar Questions

Explore conceptually related problems

The function f(x) = {(x+2, ",",1 le x lt 2),(4, ",", x = 2 ),(3x-2, ",", x gt 2 ):} is continuous at

If f(x) = {((x-2)/(|x-2|)+a, ",",x lt2),(a+b, ",", x = 2 ),((x-2)/(|x-2|)+b, ",",x gt 2):} is continuous at x = 2, then a+b =

If f(x)={:{(2x", if " x lt 2),(2", if " x=2),(x^(2)", if " x gt2):} , then

If f:R to R is defined as: f(x)= {{:(2x+1, "if",x gt 2),(x^(2)-1,"if",-2 lt x lt 2),(2x,"if",x lt -2):} then evaluate the following: (i) f(1) (ii) f(5) (iii) f(-3)

f(x) ={((x^2-9)/(x-3)+a,",",x gt 3),(5, ",",x = 3),(2x^2+3x+b, ",",x lt 3):} is continuous at x = 3, then

If f(x)={:{(x-1", for " 1 le x lt 2),(2", for " x=2),(2x-3", for " 2 lt x lt 3):} , then f has removable discontinuity at x=2 , if f(2)=

The value(s) of x for which the function f(x) = {(1-x, ",", x lt 1),((1-x)(2-x), ",", 1 le x le 2 ),(3-x, ",", x gt 2 ):} fails to be continuous is (are)

If f(x) ={(4-3x,",",0 lt x le 2),(2x-6,",",2 lt x le 3),(x+5,",",3 lt x le 6):} , then f(x) is

If f(x) = {(kx-1, "when" x lt 2),(x+1,"when" x gt 2),(3, "when: x = 2):} is continuous at x = 2 , then k =