جزاكم الله كل خير ساعدوني في حل السؤال التالي
كتبت محاولتي و أفكاري ..أرجو المساعدة و توجيهي
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Calculate the smallest value of A for which the maximum fractional energy loss can be approximated by 4/A to within an error of 1%.
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the ans. is 200.
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والمعادلة هي:
max.=\frac{4}{A} -\frac{8}{A^{2}}+\frac{12}{A^{3}}-\frac{16}{A^{4}}+... )
it looks easy but I couldn't get the right answer...
I tried to differentiate this eq. then equate the outcome with zero (to get the smallest value of A), but also I might need to study the series convergence (the radius of convergence must take the value of 1% ...right?)..I'm confused and don't know how to start..because non of these ideas got me the right answer.
I'll appreciate it if anyone can help me in solving this problem either analytically or numerically.
