InterviewSolution
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InterviewSolution
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निम्नलिखित फलन का अवलंकन गुणांक ज्ञात कीजिएः `y=a+(a)/(x)+((a)/(x))^(2)+((a)/(x))^(3)+((a)/(x))^(4)+......oo` |
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Answer» `y=a+(a)/(x)+((a)/(x))^(2)+((a)/(x))^(3)+((a)/(x))^(4)+....oo` `=a+ax^-1+a^(2)x^(-2)+a^(3)x^(-3)+a^(4)x^(-4)+.....oo` `therefore (dy)/(dx)=(d)/(dx)(a)+a(d)/(dx)(x^(-1))+a^(2)(d)/(dx)x^(-2)+a^(3)+(d)/(dx)(x^-3)+a^(4)(d)/(dx)(x^(-4))+....oo` `=0+a^(-1)x^(-2)+a^(2)(-2)x^(-2-1)+a^(3)(-3)x^(-3-1)x^(-3-1)+a^(4)(-4)x^(-4-1)+....oo` `=-a/x^(2)-(2a^(2))/(x^(3))-(3a^(3))/(x^(4))-(4a^(4))/(x^(5))-......oo` |
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