Question

this is a q. of complex numbers(if n is a positive integer) find value of:​

Answer 1

Step-by-step explanation:

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Solution



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Correct option is

C

i

Let Z=2i4n+1−i4n−1

         =2[i4n−1.i2]−i4n−1

          =2i4n−1(i2−1)

          =2i4n−1(−1−1)…(i2=−1)

          =−(i)4n−1

          =−(i)4n.i−1

          =i−i4n

          =i−(i4)n

          =i−(1)n…(i4=1)

          =i−1

Now, multiplying numerator and denominator by i. We get,

          =i