Question
Download Solution PDFi-1245 का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
सर्वसमिका:
- i2 = -1
- i3 = -i
- i4 = 1
- i4n = 1
- i4n+1 = i
- i4n+2 = -1
- i4n+3 = -i
गणना:
माना कि S = i-1245 = \(\rm 1\over i^{1245}\) है।
S = \(\rm 1\over i^{1244 +1}\)
S = \(\rm 1\over i^{4(311)+1}\)
S = \(\rm 1\over i\)
अंश और हर दोनों को i से गुणा करने पर, हमें निम्न प्राप्त होता है
S = \(\rm i\over i^{2}\)
S = -i
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