Math Expert Interview Questions and Answers for Freshers

Convergence of a sequence is when the terms of the sequence get closer and closer to a certain value as the sequence progresses.

• A sequence converges if the terms get arbitrarily close to a single value as the sequence progresses.

• Convergence can be proven using the epsilon-delta definition or by showing that the terms eventually stay within a certain range.

• Examples of convergent sequences include 1/n, (-1)^n/n, and 1/n^2.

Vector space properties include closure under addition and scalar multiplication, commutativity, associativity, distributivity, and existence of zero and additive inverse.

• Closure under addition: For any vectors u and v in a vector space V, u + v is also in V.

• Closure under scalar multiplication: For any vector u in V and scalar c, cu is also in V.

• Commutativity of addition: u + v = v + u for all u, v in V.

• Associativity of addition: (u + v) + w = u + (v + w) for all u, v, w in V...read more