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 AND CONTINUITY

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise 8(a)|16 Videos
  • LIMITS AND CONTINUITY

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise 8(b)|10 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS|32 Videos
  • LOCUS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES (EXERCISE -1(A))|17 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