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lim-x-x-3-sin-2x-2sin-x-arctan-x-3-arctan-x-3-




Question Number 62539 by aliesam last updated on 22/Jun/19
lim_(x→∞) ((x^3 +sin(2x)−2sin(x))/(arctan(x^3 )−(arctan(x))^3 ))
limxx3+sin(2x)2sin(x)arctan(x3)(arctan(x))3
Answered by tanmay last updated on 22/Jun/19
lim_(x→0)  ((x^3 +(2x−((8x^3 )/(3!))+((32x^5 )/(5!)))−2(x−(x^3 /(3!))+(x^5 /(5!))))/((x^3 −(x^9 /3))−(x−(x^3 /3))^3 ))  lim_(x→0)  ((x^3 −((8x^3 )/(3!))+((2x^3 )/(3!))+((32x^5 )/(5!))−((2x^5 )/(5!)))/(x^3 −(x^9 /3)−x^3 +3x^2 ×(x^3 /3)−3x×(x^6 /9)+(x^9 /(27))))  lim_(x→0)  ((x^3 (1+(2/(3!))−(8/(3!)))+(x^5 /(5!))(32−2))/(((−x^9 )/3)+x^5 −(x^7 /3)+(x^9 /(27))))  lim_(x→0)      (((30)/(120))/(((−x^4 )/3)+1−(x^2 /3)+(x^4 /(27)))) =(1/4) [deviding N_r and D_r by x^5 ]    i think lim_(x→0)   not lim_(x→∞)         li_(x→∞)
limx0x3+(2x8x33!+32x55!)2(xx33!+x55!)(x3x93)(xx33)3limx0x38x33!+2x33!+32x55!2x55!x3x93x3+3x2×x333x×x69+x927limx0x3(1+23!83!)+x55!(322)x93+x5x73+x927limx030120x43+1x23+x427=14[devidingNrandDrbyx5]ithinklimx0notlimxlix
Commented by aliesam last updated on 22/Jun/19
yes sir its typo so sorry
yessiritstypososorry

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