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OthersQuestion and Answers: Page 45
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Question and Answers Forum |
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OthersQuestion and Answers: Page 45 |
| If f(x)=8x^(3 ) +3x then lim_(x→∞) (x^(1/3) /(f^(−1) (8x)−f^(−1) (x))) is |
| Σ_(n=1) ^∞ ((cos(n))/n^2 ) |
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| Σ_(n=1) ^∞ (√n)e^(−n^2 ) |
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| If v = ((√(p + (1/n)))/x), where p = pressure. find the dimension of n and x |
| Σ_(n=1) ^∞ ((sin(n))/n^2 ) |
| Calculate ∫_0 ^( (π/4)) (√((tan(x)+tan^2 (x))/(tan(x)−tan^2 (x)))) cos(x)dx |
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| Σ_(n=1) ^∞ (1/(n(e^(2πn) −1))) |
| (1/1^3 )+(1/2^3 )+(1/5^3 )+(1/(10^3 ))+(1/(17^3 ))+(1/(26^3 ))+(1/(37^3 ))+(1/(50^3 ))+(1/(65^3 ))+(1/(82^3 ))+(1/(101^3 ))+... |
| Σ_(n=1) ^∞ ((coth(nπ))/n^3 ) |
| Prove or disprove Σ_(n=0) ^∞ (1/((n^2 +97)^2 ))=(𝛑^2 /(97(e^(𝛑(√(97))) −e^(−𝛑(√(97))) )^2 ))+(𝛑/(388)).((e^(2𝛑(√(97))) +1)/(e^(2𝛑(√(97))) −1))+((37635)/(37636))−(1/( 388(√(97)))) |
| 1/Show that (2019)^(2021) +(2021)^(2019) divided by 2020 2/Show that 2222^(5555) +5555^(2222) divided by 7 |
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| Calculate 1/ I = ∮_c^+ ((zdz)/((z−1)^2 (z^2 −2z+1−2i))) ,C={z/∣z∣=2} 2/ J =∮_c^+ ((ch(z)dz)/(z(e^z −1))) , C={z/∣z−3i∣=4} 3/ K=∮_c^+ ((sin(z)dz)/(z^3 (z+1)^2 )) , C={z/∣z∣=2} |
| 1−(1/(5−((16)/(13−((81)/(25−((256)/(41−((625)/(61−((1296)/(85−((2401)/(113−...))))))))))))))=(6/𝛑^2 ) |
| If I = (V/R) and V=250 volts and R=50 ohms Find the change in I resulting from an increase of 1 volt in V and increase of 0.5 ohm in R. |
| Σ_(n=1) ^∞ (1/(n^8 +1)) |
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| Problem Without L′Hopital calculate lim_(x→0) ((tan^2 (x)−x^2 cos(2x))/(x^2 −sin^2 (x))) |
| Σ_(n=1) ^∞ ((sech(nπ))/n) |