A) give the definition of sequence of real numbers (xn). then give 2 example. b) give the definition of convergent sequence. then give 2 example. c) give the definition of cauchy sequence. then give an example 0. d) show that lim n+1 72

a) Definition of sequence of real numbers: A sequence of real number is the function from set of natural number to the set of real numbers. i.e.

f: N → R

Example:

b) Definition of convergent sequence: A sequence is said to be convergent if for very large value of n, function will give the finite value.

Example:

c) Definition of Cauchy sequence: A sequence is said to be Cauchy Sequence if terms of sequence get arbitrary close to one another.

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