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Real Analysis
cantor intersection theorem or nested intervals theorem
Real Analysis
prove Principle of Mathematical Induction using Peano axioms
Real Analysis
If A and B are non-empty sets ,then the set of all ordered pairs (a,b) with a∈A and b∈B is known as .......
(A) function product
(B) Cartesian product
(C) mapping product
(D) transformation product
(A) function product
(B) Cartesian product
(C) mapping product
(D) transformation product
Real Analysis
One of the following is false
(A) A∪B=x:x∈Aorx∈B
(B) A\(B U C) = (A\B)n(A\C)
(C) A\(B U C)= (A\B)U(A\C)
(D) A\(B n C) = (A\B)U(A\C)
(A) A∪B=x:x∈Aorx∈B
(B) A\(B U C) = (A\B)n(A\C)
(C) A\(B U C)= (A\B)U(A\C)
(D) A\(B n C) = (A\B)U(A\C)
Real Analysis
The union of sets A and B is defined by
(A) A∪B=x:x∈Aorx∈B
(B) A∪B=x:x∈Aandx∈B
(C) A∩B=x:x∈Aorx∈B
(D) A∩B=x:x∈Aandx∈B
(A) A∪B=x:x∈Aorx∈B
(B) A∪B=x:x∈Aandx∈B
(C) A∩B=x:x∈Aorx∈B
(D) A∩B=x:x∈Aandx∈B
Real Analysis
Show that √n≤√(n&n!)≤(n+1)/n ,nЄ N
Real Analysis
the recursive sequence is defined as, a1= 9, a2=6, an+1=√an-1+√an , n≥2. Show that the sequence is bounded and strictly decreasing. Find its limit.
Real Analysis
Prove the Distributive Laws:
(a) A intersect (B union C) = ( A intersect B) union ( A intersect C)
(b) A union (B intersect C) = ( A union B) intersect ( A union C)
(a) A intersect (B union C) = ( A intersect B) union ( A intersect C)
(b) A union (B intersect C) = ( A union B) intersect ( A union C)
Real Analysis
f(x)= 8x2 + 8x- 12 . How do you convert in vertex form
Real Analysis
Find the fourier series for the function
0 if 0 ≤ x ≤ π
F(x) =
1 if π ≤ x ≤ 2π
On the interval 0 ≤ x ≤ 2π ?
0 if 0 ≤ x ≤ π
F(x) =
1 if π ≤ x ≤ 2π
On the interval 0 ≤ x ≤ 2π ?
