Home
Class 11
MATHS
If f(x)={:{(2x+1,x le 0),(3(x+1),x gt 0)...

If `f(x)={:{(2x+1,x le 0),(3(x+1),x gt 0):}` . Find `lim_(x to 0) f(x) and lim_(x to 1) f(x)`.

Text Solution

Verified by Experts

The correct Answer is:
does not exist
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise EXERCISE 9.1|24 Videos
  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise EXERCISE 9.2|15 Videos
  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise EXERCISE 9.6|25 Videos
  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 5 ADDITIONAL PROBLEMS (Find the derivative of following functions.)|10 Videos
  • EXAMINATION QUESTION PAPER - JUNE 2019

    FULL MARKS|Exercise PART -IV|7 Videos

Similar Questions

Explore conceptually related problems

Suppose f(x)={:{(a+bx,x lt 1) ,(4,x=1), (b-ax,x gt 1):} and if lim_(x to 1) f(x)=f(1). What are possible values of a and b?

If f(x)={{:(x","" "xlt0),(1","" "x=0),(x^(2)","" "xgt0):}," then find " lim_(xto0) f(x)" if exists.

If f(x)={{:(|x|+1","xlt0),(0","x=0),(|x|-1","xgt0):} For what value (s) of a does lim_(xtoa)f(x) exist?

The graph of y = f(x) is as shown in the following figure. Find the following values (i) f(-3)" "(ii) f(-2)" "(iii) f(0) (iv) f(2)" "(v) f(3)" "(vi) lim_(x to -3) f(x) (vii) lim_(x to 0) f(x)" "(viii)lim_(x to 2) f(x)" "(ix) lim_(x to 3) f(x) (x) lim_(x to 2^(-)) f(x)" "(xi)lim_(x to -2^(+)) f (x)" "(x ii)lim_(x to 0^(-)) f(x) (x iii) lim_(x to 0^(+)) f(x)

If f(x)=x(-1)^[1/x] xle0 , then the value of lim_(xto0)f(x) is equal to

Sketch the graph of a function f that satifies the given values: f(0) is undefined lim_( x to 0) f(x)=4 , f(2)=6 , lim_(x to 2) f(x)=3