Home
Class 11
MATHS
Find the left and right hand limits of t...

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`

Text Solution

Verified by Experts

The correct Answer is:
`Lt_(xto3-)f(x)=5,Lt_(xto3+)f(x)=9`, limit does not exist
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    AAKASH SERIES|Exercise EXERCISE-2.2 (VERY SHORT ANSWER QUESTIONS)|16 Videos
  • LIMITS

    AAKASH SERIES|Exercise EXERCISE-2.2 (SHORT ANSWER QUESTIONS)|8 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

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)={{:(1-x if , x le1),(1+x if , x gt 1):},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 x lt 2),((x^(2))/(3),if x ge2):},a=2