InterviewSolution
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InterviewSolution
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निम्नलिखित फलन का अवलंकन गुणांक ज्ञात कीजिएः `y=x+(x^(2))/(2!)+(x^(3))/(3!)+(x^(4))/(4!)+....oo` |
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Answer» `y=x+(x^(2))/(2!)+(x^(3))/(3!)+(x^(4))/(4!)+....oo` `therefore (dy)/(dx)=(d)/(dx)x+(1)/(2!)(d)/(dx)x^(2)+(1)/(3!)d/dxx^(3)+(1)/(4!)d/dxx^(4)+....oo` `=1+(2x)/(2!)+(3x^(2))/(3!)+(4x^(3))/(4!)+.....oo` `=1+(2x)/(2.1!)+(3x^(2))/(3.2!)+(4x^(3))/(4.3!)+.....oo` `=1+x+(x^(2))/(2!)+(x^(3))/(3!)+....oo` `=1+x+(x^(2))/(2!)+(x^(3))/(3!)+......oo` |
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