Home
Class 11
MATHS
If f(x) = |x|+1, x lt 0 =0, x =0 =|x...

If `f(x) = |x|+1, x lt 0`
=0, x =0
=`|x|-1, x gt 0`
For what value(s) of a does `lim_(x to a) f(x)` exist?

Promotional Banner

Topper's Solved these Questions

  • LIMIT, CONTINUITY AND DIFFERENTIABILITY

    PATHFINDER|Exercise QUESTION BANK|293 Videos
  • MATHEMATICAL REASONING

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

If f(x)={(x^3, x gt 0),(0, x=0),(-x^3, x lt0):}

If a function satisfies the relation f(x) f''(x)-f(x)f'(x)=(f'(x))^(2) AA x in R and f(0)=f'(0)=1, then The value of lim_(x to -oo) f(x) is

Let g(x)=1+x-[x] [where [x] denote the gratest integer not exceeding x] and f(x)=sgn.x [Where f(x)= sgn. X=1 if x gt 0,f (x) =0 if x=0 and f(x) =-1 if x lt 0] then for all x, f o g (x) is equal to lambda .Find the value of lambda

If {:(f(x)=1+x," ""when"x ne 1),(=1," ""when"0lexle1),(2x^(2)+4x+5, " ""when"xgt1):} find f'(x) for real x . Does lim_(x to 0) f'(x) exist ?

If f(x)=|(sinx, cosx, tanx),(x^(3),x^(2),x),(2x,1,1)| then the value of lim_(x to 0) (f(x))/(x^(2)) is -

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

Let g(x)=1+x-[x] and f(x)=={(-1, x lt0),(0, x=0),(1, x gt 0):} Then for all x find f(g(x))

If f(x) = 0 for x lt 0 and f(x) is differentiable at x = 0 then for xgt 0 , f(x) may be

Draw the graph of the following signum function : f(x)=1," when "x gt0 =0," when "x=0 =-1," when "x lt0 Find the domain and range of f(x) from the graph.