Home
Class 12
MATHS
If f(x)=(|x|)/(x) then discuss with just...

If `f(x)=(|x|)/(x)` then discuss with justification whether `lim_(xto0)f(x)` exists or not.

Text Solution

Verified by Experts

The correct Answer is:
`:.lim_(xto0^(-))` f(x) does not exists.
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -C)|17 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -D)|8 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -A)|10 Videos
  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

Draw the graph of the function f(x)=(|x|)/(x) and from the graph discuss whether underset(xrarr0)"lim"f(x) Exist or not

lim_(xto0+)(x^n lnx),ngt0

Draw the graph of y=f(x)=(x^(2))/(x) and from the graph examine whether underset(xrarr0)"lim"f(x) exists or not .

If f(x)=sgn(x)" and "g(x)=x^(3) ,then prove that lim_(xto0) f(x).g(x) exists though lim_(xto0) f(x) does not exist.

Let f(x)={{:(cos[x]", "xle0),(|x|+a", "xgt0):}. Then find the value of a, so that lim_(xto0) f(x) exists, where [x] denotes the greatest integer function less than or equal to x.

Let f(x){:(=1,",""for "xgt0),(=x^(2),",""for "xle0):} ,discuss whether underset(xrarr0)"lim"f(x) exists or not .

If lim_(x->a)[f(x)g(x)] exists, then both lim_(xtoa)f(x) and lim_(x->a)g(x) exist.

If f(x) = (|x|)/(x) (x != 0) , then show that underset(x rarr 0)lim f(x) does not exists.

If f(x)={{:((x-|x|)/(x)","xne0),(2", "x=0):}, show that lim_(xto0) f(x) does not exist.