Home
Class 11
MATHS
Show that Lt(xto0)(e^(x)-1)/x=1...

Show that `Lt_(xto0)(e^(x)-1)/x=1`

Promotional Banner

Topper's Solved these Questions

  • LIMITS

    AAKASH SERIES|Exercise EXERCISE-2.1 (VERY SHORT ANSWER QUESTIONS)|20 Videos

  • LIMITS

    AAKASH SERIES|Exercise EXERCISE-2.1 (SHORT ANSWER QUESTIONS)|17 Videos

  • LIMITS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|143 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

Show that Lt_(xto0)(e^(ax)-1)/x=a(ainR)

Show that Lt_(x to 0)(e^(x)-1)/(x)=1

Show that Lt_(xto0)(a^(x)-1)/(b^(x)-1)=log_(b)a where a and b are positive numbers other than unity.

Show that Lt_(xto0-)(|x|)/x=-1

Show that Lt_(xto0+)(|x|)/x=1

Show that Lt_(xto0)(sin^(-1)(x))/x=1

Prove that Lt_(xto0)(a^(kx)-1)/x=k.loga(agt0,ane1) .

Show that Lt_(xto0)(cosecx-cotx)/x=1/2

Show that Lt_(xto0)(tanx/x)^(1/x^(2))=e^(1/3)

Show that Lt_(xto0)((1+x)^(1//6)-(1-x)^(1//6))/x=1/3