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Assignment-3

MATH350-Real Analysis I

Question # 1:

For each of the following power series, find the interval of convergence and the radius of convergence:

Question # 2:

Explain why each of the following sequences converges and in the case of (i) and (ii) determine the limits.

Question # 3:

Using sigma notation, write the following expressions as infinite series.

Question # 4:

(ii). Evaluate  dx correct to within an error of 0.001.

Question # 5:

Evaluate the following limit.