Home
Class 12
MATHS
Evaluate the following:lim(ntoinfty)(n!)...

Evaluate the following:`lim_(ntoinfty)(n!)/((n+1)!-n!`

Text Solution

Verified by Experts

`lim_(ntoinfty)(n!)/((n+1)!-n!)`
`lim_(ntoinfty)(n!)/((n+1)!-n!)`
`=lim_(ntoinfty)(n!)/(n!(n+1-1))`
`lim_(ntoinfty)1/n=0[therefore(n+1)! =(n+1)! cdot n!]`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|88 Videos

  • LINEAR INEQUALITIES

    MBD PUBLICATION|Exercise QUESTION BANK|46 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following: lim_(xtoinfty) sin(1/x)

Evaluate the following: lim_(ntoinfty) ((n^2+n+1)/(5n^2+2n+1))

Evaluate the following: lim_(ntoinfty) ((6n^5+2n+1)/(n^5+n^4+3n^3+2n^2+n+1))

Evaluate the following: lim_(xtoinfty)e^x(a^(1/x)-1)

Evaluate the following: lim_(ntoinfty)(1+2+3+...+n)/n^2

Evaluate the following: lim_(ntoinfty) ((sqrtn-1)/(sqrtn+1))

Evaluate the following: lim_(xtoinfty)x(a^(1/x)-1), agt0

Evaluate the following: lim_(ntoinfty)(1+1/2+1/2^2+...+1/2^n)/(1+1/3+1/3^2+...+1/3^n)

Evaluate the following lim_(xto1) (x^3 -1)/(x-1)

Evaluate the following: lim_(ntoinfty)(1^2+2^2+3^2+...+n^2)/n^3