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OthersQuestion and Answers: Page 59
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Question and Answers Forum |
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OthersQuestion and Answers: Page 59 |
| lim_(x→0) ((sin5x − tan5x)/x^3 ) |
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| 30+144+420+960+1890+3360+...n |
| @JS@ The quartic equation x^4 +2x^3 +14x+15=0 has one root equal to 1+2i . Find the other three roots. |
| Find n in this equation: (−2)^n = 4096 |
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| (2/3)+(2/(18))+(2/(27))+(2/(324))+.... |
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| A ladder placed against a vertical walls ubtends an angle of 45 degree with thewall The distance between the footo f the ladder and the wall is 15mt calculae the length of the ladder correctto the nearest whole number. |
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| prove that : ⌊((√(10^(2k) −1))/3)⌋ = ((10^k −1)/3) |
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| 1+(5/2)+(9/4)+((13)/8)+((17)/(16))+...... |
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| find ∫_(−5) ^5 ((√(25−x^2 )))dx whithout using trigonometric compensation |
| ∫_0 ^(log(2)) ((e^x −4)/(x +2))dx = ..... {(a)log(2) (b)1−log(2) (c) 1−2log(2) (d)−log(2)} |
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| if (f o g )(x) = x and f′(x)=1 + (f(x))^2 then g′(2) = .... |
| lim_(n→∞) (Π_(k=1) ^n ((1/k)))^(2/n) |
| if y = cos(x^2 ) then y^((n)) = ......... |
| 99−98((98)/(99)) = ? Can you solve this? |
| (1−(1/1))(1−(1/2))(1−(1/3)).....(1−(1/(100)))=? |
| To now the real sequence in the follwing image : a_1 =1 ,a_2 =2 a_(nk +1) = ((a_(2k−1) +a_(2k) )/2) ∀ k ∈ Z^+ a_(2k+2) = (√(a_(2k) a_(2k+1) )) then prove that : lim_(n→∞) a_n = ((3(√3))/π) |
| solve: x((x^2 −1)!) = 5((x−1)!) |