Real Analysis

Two concentric circles have radii of 1.2m and 2.8m. the central angle is 60grad. find the area of the portion of the sector of the larger circle, which is outside the circle. The final answer must be 3.35m^{2}

Real Analysis

If A={x∈Q,x<3} then find Sup(A)

Real Analysis

If (a_{n})^{infinity}_{n=1 }is a sequence of real numbers satisfying a_{n+1}^{2 }=2a_{n}-1, then,

lim_{n->infinity} a_{n }= ?

Real Analysis

Discuss order-completeness of the set of rational numbers

Real Analysis

Consider the following sequence of successive numbers of the 2^k-th power: 1, 2^2^k, 3^2^k, 4^2^k, 5^2^k, … Show that the difference between the numbers in this sequence is odd for all k ∈ N?

Real Analysis

f:[0,1]→R be Riemann integrable. Find lim┬(n→∞)∫_0^1▒〖x^(n+1) f(x)dx〗.

Real Analysis

Q.1 examine the convergence of series: 3×4/5^2 +'5×6/7^2 + 7×8/9^2 + ......

Real Analysis

Distinguish between the phrase number concept and number sense

Real Analysis

If u be a borel measure on a metric space X and suppose there exists a sequence Gn of open sets, X=UnGn and for all n , u(Gn) < Infinity then u is regular.

Real Analysis

Prove that the set of complex numbers is field.