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का z = 2 पर अवशिष्ट क्या है?

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BPSC Lecturer ME Held on July 2016 (Advt. 35/2014)
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संकल्पना:

ध्रुव - वह बिंदु जिसपर क्रियात्मक मान अनंत है। 

यदि z = a, f(z) का एक साधारण ध्रुव है, तो z = a पर f(z) के अवशिष्ट को निम्न द्वारा ज्ञात किया गया है,

गणना:

दिया गया है:

हमें z = 2 पर अवशिष्ट ज्ञात करना है। 

f(z) का मान x = 2 पर अनंत है। इसलिए z = 2 एक साधारण ध्रुव है। 

z = 2 पर f(z) का अवशिष्ट, 

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