Home
Class 11
MATHS
The value of underset(x to 0)"Lt" ((a(1)...

The value of `underset(x to 0)"Lt" ((a_(1)^(1//x)+a_(2)^(1//x)+.....+a_(n)^(1//x))/(n))^(nx))` is

Text Solution

Verified by Experts

The correct Answer is:
`a_(1)a_(2)a_(3)...a_(n)`
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|33 Videos
  • LIMITS

    AAKASH SERIES|Exercise SOLVED EXAMPLES|57 Videos
  • LIMITS

    AAKASH SERIES|Exercise EXERCISE-2.6|9 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

Lt_(x to 0)((a_(1)^(x)+a_(2)^(x)+...+a_(n)^(x))/(n))^(1//x)=

Lt_(x to oo) ((a_(1)^((1)/(x))+a_(1)^((1)/(x))+....+a_(n)^((1)/(x)))/(n))_(1)^(x)=

underset(x to 0)"Lt" ((1^(x)+2^(x)+3^(x)+....+n^(x))/(n))^(1//x))

underset(x to 0)"Lt" (root(n)(1+x)-1)/(x)=

Lt_(x to oo)((1^(1//x)+2^(1//x)+3^(1//x)+...+n^(1//x))/(n))^(nx)=

If |x| lt 1" thn "underset(n to oo)"Lt "(1+x)(1+x^(2))(1+x^(4))....(1+x^(2n))=

Evaluate Lt_(xtooo)(a_(0)x^(m)+a_(1)x^(m-1)+...+a_(m))/(b_(0)x^(n)+b_(1)x^(n-1)+...+b_(n)) where m and n are positive integers and a_(0)ne0,b_(0)ne0 .

a_(0)x^(n) + a_(1)x^(n-1) + a_(2)x^(n-2) + ……..a_(n)x^(n) is polynomial of degree ……………

If f(x)= overset(n) underset(i=1) sum (x-a_(i))^(2) has a minimum at x=x_(0) then for a_(1),.....a_(n),x_(0) is the