Maclaurin Expansion log1ex











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Taylor series and Maclaurin series Links • Taylor reminder theorem: log(1.1)≈0.1 - ((0.1)^2/2)+((0.1)^3/3) Find minimum error and exact value -    • Taylor reminder theorem log(1.1)≈0.1 ...   • Maclaurin series for tanx upto the term containing x^5 -    • Maclaurin series for tanx upto the te...   • Taylor series cube√x at x0=27. Find R2(x) -    • Taylor series cube√x at x0=27. Find R...   • Taylor series Expand 2x^3+7x^2+x-6 in powers of (x-2) -    • Taylor series Expand 2x^3+7x^2+x-6 in...   • Taylor Theorem Find √25.15 -    • Taylor Theorem Find √25.15   • Taylor Series find f(x) at x=0.1 and x=0.2 where dy/dx = (x^2y)-1, f(0)=1-    • Taylor Series find f(x) at x=0.1 and ...   • Taylor Remainder Theorem √1.2≈1+((1/2)(0.2)^1-((1/8)(0.2)^2 Find the minimum error and exact value -    • Taylor Remainder Theorem √1.2≈1+((1/2...   • Taylor series Find i) (e^x+e^-x)/2 ii) 2sinx cosx iii) xlog(1-x3) -    • Taylor series Find (e^x+e^-x)/2 2sinx...   • Taylor series f(x)=3x^3+4x^2-2x+1 -    • Taylor series f(x)=3x^3+4x^2-2x+1   • Taylor series f(x)=x^5+2x^4-x^2+x+1 in the powers of (x-1) -    • Taylor series f(x)=x^5+2x^4-x^2+x+1 i...   • Maclaurin Expansion Limit (sinx-x)/x^3 -    • Maclaurin Expansion Limit (sinx-x)/x^3   • Maclaurin series Expand f(x) = 1/(1+x^2) Find f^5(0) and f^6(0) -    • Maclaurin series Expand  f(x) = 1/(1+...   • Maclaurin series f(x)=4/(3+2x) -    • Maclaurin series f(x)=4/(3+2x)   • Maclaurin series Find i) x^2e^x ii) x^2e^-x iii) cos^2x -    • Maclaurin series Find i) x^2e^x ii) x...   • Maclaurin series Find i)Cosx^2 ii) xcosx -    • Maclaurin series Find  i)Cosx^2 ii) x...   • Find maclaurin series of cosx using maclaurin series of sinx -    • Find maclaurin series of cosx using m...   • Taylor Series find y(0.1) where dy/dx = x2-y2, y(0)=1 -    • Taylor Series find y(0.1) where dy/dx...   • Taylor Series log(cosx) at x=π/3 -    • Taylor Series log(cosx) at x=π/3   • Taylor Series 0≤x≤0.2 step size h=0.1 Given y=10 at x=0. Find y(0.1) and y(0.2) for y’=x2+y -    • Taylor Series 0≤x≤0.2 step size h=0.1...   • Taylor Series find y at x=1.02. Given dy=(xy-1)dx y=2 at x=1 -    • Taylor Series find y at x=1.02. Given...   • Taylor Method find y at x=0.1. Given (dy/dx)-2y=3e^x, passes through the origin -    • Taylor Method find y at x=0.1. Given ...   • Taylor series for log(1.1) -    • Taylor series for log(1.1)   • Maclaurin Polynomial for f(x) = 1/(5x+1) -    • Maclaurin Polynomial for f(x) = 1/(5x+1)   • Taylor series find the cubic approximation for f(x) = sinx at x=(3π/2)=a -    • Taylor series find the cubic approxim...   • Maclaurin Expansion log (1+x). deduce log√(1+x)/(1-x) = x+(x^3/3)+(x^5/5)+. . . -    • Maclaurin Expansion log (1+x). deduce...   • Taylor reminder theorem for f(x)=e^x. what is the remainder ? -    • Taylor reminder theorem for f(x)=e^x....   • Maclaurin series for f(x) = x^2e^4x. Given that e^x = ⅀ (x^n/n!) -    • Maclaurin series for f(x) = x^2e^4x. ...   • Third degree Maclaurin polynomial for f(x) = e^4x -    • Third degree Maclaurin polynomial for...   • Taylor Maclaurin series ∫xcos(x)^3 dx to 3 decimal places -    • Taylor   Maclaurin series ∫xcos(x)^3 ...   • Taylor series for f(x) = logx at a=2 -    • Taylor series for f(x) = logx at a=2   • Taylor Maclaurin series for sinx -    • Taylor   Maclaurin series for sinx   • Maclaurin series Expand tan((π/4)+x) -    • Maclaurin series Expand tan((π/4)+x)   • Maclaurin series Expand e^sinx -    • Maclaurin series Expand e^sinx   • Maclaurin series √1+SIN2X = 1+X-(X^2/2)-(X^3/6)+(X^4/24) . . . -    • Maclaurin series √1+SIN2X = 1+X-(X^2/...   • Maclaurin series log(1+cosx) -    • Maclaurin series log(1+cosx)   • Maclaurin series log(secx) -    • Maclaurin series log(secx)   • Maclaurin Expansion log(1+e^x) -    • Maclaurin Expansion log(1+e^x)   • Taylor series Maclaurin series -    • Taylor series   Maclaurin series   • TAYLOR SERIES Expand x^2y+3y-2 in the powers of x-1 and y+2 up to 3 degree terms -    • Expand x^2y+3y-2 in the powers of x-1...   • TAYLOR SERIES Expand xy^2+cos xy in the powers of x-1 and y- π/2 to 2 degree terms-    • Expand xy^2+cos xy in the powers of x...   • TAYLOR SERIES Expand tan^-1 (y/x) in the powers of x-1 and y-1 to 2 degree terms-    • TAYLORS SERIES Expand tan^-1 (y/x) in...  

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