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OthersQuestion and Answers: Page 16
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Question and Answers Forum |
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OthersQuestion and Answers: Page 16 |
| ∫_0 ^( 1) (1/( (√(x(√(x^2 (√(x^3 (√(x^4 +1)))))))) )) dx |
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| Prove that ▽•(∅A^− )=(▽∅)•A+∅(▽•A^− ). Help! |
| Prove that div(curlA^− )=0 Help! |
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| Find the radius of convergence of Σ_(n=1) ^∞ ne^(−n^2 ) M.m |
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| Determine whether the series U_n =((1+2n^2 )/(1+n^2 )) is convergent or not M.m |
| Write down the expansion of (a) cosx (b) (1/(l+x)), and hence show that ((cosx)/(1+x)) = 1−x+(x^2 /2)−(x^3 /2)+((13x^4 )/(24))+... M.m |
| Find the first four terms in the expansion of ((x−3)/((1−x^2 )^2 (2+x^2 ))) in ascending power of x. M.m |
| Show that ((1+z)/(1−z)) + ((1+z^ )/(1−z^ )) = ((2(1−∣z∣^2 ))/(∣1−z∣^2 )) Where z is a complex number Help! |
| lim_(z→∞) ((iz^3 +iz−1)/((2z+3i)(z−i)^2 )) M.m |
| (1−z)(1−z^− ) = ? Where z is the complex number . |
| Show that f(z)=z^2 is harmonic in polar form |
| Show that f(z)=z^2 is uniformly continous in the region ∣z∣<R where 0<R<∞. Help! |
| Using ε−δ approach prove that lim_(z→i) ((3z^4 −2z^3 +8z^2 −2z+5)/(z−i))=4+4i Help! |
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| Find the range of values of x for which the series (x/(27))+(x^2 /(125))+...+(x^n /((2n+1)^3 ))+... is absolutely convergent. Help! |
| Find the series for cosx. Hence, deduce series sin^2 x and show that, if x is small, ((sin^2 x−x^2 cosx)/x^4 )=(1/6)+(x^2 /(360)) approximately. Help! |