Home
Class 12
MATHS
Show that: lim(x to 0)(1)/(x)[(1+x)^(8)-...

Show that: `lim_(x to 0)(1)/(x)[(1+x)^(8)-1]=8`

Promotional Banner

Topper's Solved these Questions

  • LIMIT

    CHHAYA PUBLICATION|Exercise EXERCISE (Short Answer Type Questions)|25 Videos
  • LIMIT

    CHHAYA PUBLICATION|Exercise EXERCISE (Long Answer Type Questions)|8 Videos
  • LIMIT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type)|2 Videos
  • LAWS OF INDICES

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|6 Videos
  • LINEAR DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination(E. Assertion-Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

Show that lim_(x to 0)((1+x)^(9)-1)/((1+x)^(6)-1)=(3)/(2)

Show that : lim_(xto0)[(1)/(x)-(log(1+x))/(x^(2))]=(1)/(2)

If lim_(x to 0)x^((1)/(1-x))=e^(-1)

lim_(x to 0)(1+4x)^((x+2)/(x))=e^(8)

Using lim_(x to 0)(e^(x)-1)/(x)=1 , show that, lim_(x to 0)log_(e)(1+x)/(x)=1

lim_(x->0)(3^x-1)/x

lim_(x to 0) tan^-1x/x

Prove that: lim_(x to0)log(1+sinx)/(x)=1

If lim_(x to 0)(1+x)^(1/x)=e, prove that lim_(x to 0)(1+3x)^(((x+2))/(x))=e^(6).

lim_(x to 0) (pi^(x)-1)/(sqrt(1+x)-1)