Home
Class 12
MATHS
Prove that, lim(x rarr 0) ((1+x)^((1)/(2...

Prove that, `lim_(x rarr 0) ((1+x)^((1)/(2))-1)/((1+x)^((1)/(3))-1)=(3)/(2)`

Promotional Banner

Topper's Solved these Questions

  • LIMIT

    CHHAYA PUBLICATION|Exercise IIIustrative Examples|53 Videos
  • LIMIT

    CHHAYA PUBLICATION|Exercise EXERCISE 2 (Multiple Choice Type Questions)|20 Videos
  • LIMIT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion- Reason Type)|3 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

prove that lim_(x rarr 0) (1+2x)^(1/x)=e^(2)

Prove that: lim_(x rarr 0)(sinlog(1+x))/(x)=1

Prove that lim_(xrarr0) ((1+x)^(n) - 1)/(x) = n .

Prove that lim_(x rarr 2) log(2x-3)/(2(x-2))=1

Prove that: lim_(h rarr 0) (log(x+h)-logx)/(h)=(1)/(x)

Prove that: lim_(x rarr 0)(logcosx)/(sin^(2)x)=-(1)/(2)

Evaluate: lim_(x rarr 0) (2^(3x)-1)/(3^(2x)-1)

Prove that: lim_(x rarr 0) (log(1+x)+sinx)/(e^(x)-1)=2

Show that , lim_(x rarr 0)(3^(x)+3^(-x)-2)/(x^(2)

Evaluate: lim_(x rarr 0) (e^(sinx)-1)/(x)