M-N THEOREM

Theorem|Pythagoras Theorem|NCERT Exercise

Limits|Existence Of Limit|Theorem 1|Theorem 2|Theorem 3|Theorem 4 ( Sandwich Theorem )|OMR

Trigonometric Equations|Theorem 1|Theorem 2|Theorem 3|OMR

Use the identity (1+x)^(m)(1+x)^(n)=(1+x)^(m+n) to prove Vandermonde's theorem, ""^(m)C_(r ) +""^(m)C_(r-1). ""^(n)C_( 1)+""^(m)C_(r -2) *""^(n)C_(2) +….+""^(n)C_(r )=""^((m+n))C_(r )

The value of 'c' in Lagrange's mean value theorem for f(x) = ( x - a)m (x - b)^(m) [a, b]^(n) is [a,b] is

Verify Rolle’s theorem for the function f(x) = (x - a)m (x - b)^(n) on [a, b] where m and n are positive integers.

Discuss the applicability of Rolle's theorem of the following functions: f(x) =(x-a)^(m) (x-b)^(n), m, n in Z^(+) , in the interval [a,b]

The value of 'c' of Lagrange's mean value theorem for f(x) = (x-a)^(m) ( x - b)^(n) in [a,b] is

Using binomial theorem , Prove that a^(n)-b^(n) is divisible by (a-b)