Home
Class 11
MATHS
Find lim(xrarr0) f(x) where f(x)={{:(...

Find `lim_(xrarr0) f(x)` where
`f(x)={{:((x)/(|x|),xne0),(0,x=0):}`

Text Solution

AI Generated Solution

To find the limit \( \lim_{x \to 0} f(x) \) where \[ f(x) = \begin{cases} \frac{x}{|x|} & \text{if } x \neq 0 \\ 0 & \text{if } x = 0 \end{cases} ...
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise EX -13.2|11 Videos

  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|30 Videos

  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise EX-13H|10 Videos

  • INTRODUCTION OF THREE DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|6 Videos

  • LINEAR INEQUALITIES

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|14 Videos

Similar Questions

Explore conceptually related problems

lim_(xrarr0)x sec x

Evaluate lim_(xrarr0) f(x) , where

Find lim_(X to 0) f(x) where f(x) = {{:(x, x!=0),(5,x=0):}}

Find lim_(x to 0) f(x) , where f(x) = {{:(x -1,x lt 0),(0,x = 0),(x =1,x gt 0):}

Find lim_(x to 1) f(x) , where f(x) = {{:(x + 1, x != 1),(0, x = 1):}}

f(x) ={{:((x)/(2x^(2)+|x|),xne0),( 1, x=0):} then f(x) is

lim_(xrarr0)(x^3 log x)

lim_(xrarr0) (sinx)/(x)= ?

Let f(x) be a function defined by f(x) = {{:((3x)/(|x|+2x),x ne 0),(0,x = 0):} Show that lim_(x rarr 0) f(x) does not exist.

Evaluate ("lim")_(x->0)f(x),\ w h e r e\ f(x)={(|x|)/x ,\ x!=0 , 0,\ x=0