Home
Class 11
MATHS
Let f(x)={{:(x^(2)" if "xle1),(x" ...

Let `f(x)={{:(x^(2)" if "xle1),(x" if "1ltxle2),(x-3" if "xgt2):}`. Find the left hand and right hand limits as the points 1 and 2. Hence check whether f(x) has limits at these points.

Promotional Banner

Topper's Solved these Questions

  • LIMITS

    AAKASH SERIES|Exercise SOLVED EXAMPLE|36 Videos
  • LIMITS

    AAKASH SERIES|Exercise EXERCISE-2.1 (VERY SHORT ANSWER QUESTIONS)|20 Videos
  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIOS)|5 Videos
  • LOCUS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

if f(x)={{:(x^(2), if x le),(x, if1 lt x le2),(x-3,if x gt2):} Find the left and right hand limits and check wheather f(x) has limit at the point x=1:2

If f(x)={{:(2x+3"if", x le0),(3(x+1)"if",x gt theta):} Find left and right hand limits and choose whether f(x) has limit at the point x=0 .

Is the function f , defined by f(x)={{:(x^(2),"if "xle1),(x,"if "xgt1):} continuous on R ?

Let f(x) = {(x^(3) - x^(2) + 10x - 5",", x le 1),(-2x + log_(2)(b^(2) - 2)",",x gt 1):} find the values of b for which f(x) has the greatest value at x = 1.

Find the left hand derivative of f (x) =[x] sin pi, x , at x=k where k is an integer.

Find the left and right hand limits of the function at the point 'a' mentioned against them. Hence check whether the function have limits at those points. f(x)={{:(x^(2)" , "xle1),(x" if "1ltxle2),(x-3" if "xgt2):},a=2

Find the left and right hand limits of the function at the point 'a' mentioned against them. Hence check whether the function have limits at those points. f(x)={{:(x^(2)" , "xle1),(2x-1" , "xgt1):},a=1

Find the left and right hand limits of the function at the point 'a' mentioned against them. Hence check whether the function have limits at those points. f(x)={{:(1" if "xlt0),(2x+1" if "0lexlt1),(3x" if "xgt1):},a=1

Find the left and right hand limits of the function at the point 'a' mentioned against them. Hence check whether the function have limits at those points. f(x)={{:(x+2" if "-1ltxle3),(x^(2)" if "3ltxlt5):},a=3