Taylor series
- Lagrange's Remainder The generalized mean value theorem states, f(x)=f(a)+(x-a)f'(a)+ (x–a) 2 f''(a)+...+ (x - a) n f n (a+x–a.θ) 2! n! In this equation, let us assume the sum of first n terms as S n (x) and the last term as R n (x). Hence f(x) = S n (x) + R n (x) R n ..
Theorem
A statement that requires a proof is called a theorem..
Theorem
Using Binomial theorem, prove that: ..
Using Binomial theorem, prove that: ..Theorem:
If x is a rational number, then the sum (e x ) of the exponential series..
If x is a rational number, then the sum (e x ) of the exponential series..Theorem:
The inverse of a square matrix if it exists, is unique. Let A be an invertible square matrix. If possible, let B and C be two inverse of A. Then AB = BA = I. AC = CA = I (by def. of inverse) Now, B = BI = B(AC) = (BA)C [ Matrix multiplication is associative] = IC = C i.e., B = C Hence the inverse..
The inverse of a square matrix if it exists, is unique. Let A be an invertible square matrix. If possible, let B and C be two inverse of A. Then AB = BA = I. AC = CA = I (by def. of inverse) Now, B = BI = B(AC) = (BA)C [ Matrix multiplication is associative] = IC = C i.e., B = C Hence the inverse..Theorem
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..Theorem:
The number of combinations of n dissimilar things, taken r at a time is..
The number of combinations of n dissimilar things, taken r at a time is..Theorem
The length of the line segment AB, which joins A (x 1 , y 1 ) and B (x 2 , y 2 ) is given by ..
The length of the line segment AB, which joins A (x 1 , y 1 ) and B (x 2 , y 2 ) is given by ..Theorem
The angle bisectors of a triangle pass through the same point..
The angle bisectors of a triangle pass through the same point..See what our Users say :
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