Related InterviewSolutions

• The sequence \((\frac{3^n}{n!} )\) is1. bounded2. unbounded3. convergent4. monotonic
• The sequence \(((1+\frac{1}{n})^\frac{1}{n})\) is1. bounded2. unbounded3. only lower bounded4. only upper bounded
• Three forces P, Q, R are acting at a point in a plane. The angle between P and Q, Q and R are 150° and 120° respectively, then for equilibrium, forces P, Q, R are in the ratio1. 1 ∶ 2 ∶ 32. 1 ∶ 2 ∶ √3 3. 3 ∶ 2 ∶ 14. √3 ∶ 2 ∶ 1
• The necessary condition for a series \(\sum {{u_n}} \) to converge is that1. \(\mathop {\lim }\limits_{n \to \infty } {u_n} \to 0\)2. \(\mathop {\lim }\limits_{n \to \infty } {u_n} =1\)3. \(\mathop {\lim }\limits_{n \to \infty } {u_n} = -1\)4. None of these
• The set of all limit point of a set S is called 1. subset2. derived set3. closed set4. open set
• Consider the function\({\rm{\;f\;}}\left( {\rm{x}} \right) = {{\rm{x}}^2} - {\rm{x}} - 2\). The maximum value of f (x) in the closed interval [- 4, 4] is1. 182. 103. 24. 4
• A function f defined on a closed interval [a, b] is said to be continuous at the end point if1. it is continuous at the right at 'a'2. it is discontinuous at the right at 'a'3. the value of 'a' is zero4. f(a) = f(b)
• Every bounded sequence has a convergent subsequence. This is a statement of 1. Bolzano-Weierstrass Theorem2. Cauchy Theorem3. Taylor's Theorem4. None of these
• A sequence (sn) of real numbers is called a Cauchy sequence if1. |sn + sk|  ε
• A sequence Sn is bounded is there exists a number K > 0 such that1. |Sn| > K2. |Sn| = K3. |Sn| < K4. None of these