Solving Problems in Differential Calculus |
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... series 21 Maclaurin's series 20 Series of functions . Power series See also Differential Calculus I in this series 2080 72 81 90 Chapter IV THE DERIVATIVES OF THE ELEMENTARY TRANSCENDENTAL FUNCTIONS 14.
... series 21 Maclaurin's series 20 Series of functions . Power series See also Differential Calculus I in this series 2080 72 81 90 Chapter IV THE DERIVATIVES OF THE ELEMENTARY TRANSCENDENTAL FUNCTIONS 14.
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... Maclaurin's Series , it is simpler to form the series F ( x ) and show by some direct method that it sums to f ( x ) , without proving the limit of the previous ... series . For | x $ 21 91 APPLICATIONS TO INFINITE SERIES Maclaurin's series.
... Maclaurin's Series , it is simpler to form the series F ( x ) and show by some direct method that it sums to f ( x ) , without proving the limit of the previous ... series . For | x $ 21 91 APPLICATIONS TO INFINITE SERIES Maclaurin's series.
Page 92
... Maclaurin's Series depend upon the values of the derivative of f ( x ) at x = 0. The corresponding series depending on the values of these derivatives at x = a is called a Taylor's series . 1 ƒ ( a ) + ƒ ' ( a ) ( x − a ) + ' , ƒ ...
... Maclaurin's Series depend upon the values of the derivative of f ( x ) at x = 0. The corresponding series depending on the values of these derivatives at x = a is called a Taylor's series . 1 ƒ ( a ) + ƒ ' ( a ) ( x − a ) + ' , ƒ ...
Common terms and phrases
1+x² 2x sin 3x absolutely convergent ADDITIONAL EXAMPLES angle approximately Binomial series conditionally convergent constant cos² 5x cos³ cosec cosh cosh x cosh2 coth curve d²y dx2 d²y dy d²y/dx² decimal places Deduce derivative Differentiate dt dt dx dt dx dy dx2 dx dy dx dy/dx equation feet Find the stationary finite limit harmonic series Hence hyperbolic functions increases J₁ Leibnitz's Theorem logarithm Maclaurin expansion Maclaurin series maximum minimum n²)n nt+a oscillates finitely polynomial positive integer positive terms power series power series expansion prove radians radius of convergence sec² sec³ sech series diverges series is convergent sin x sin¯¹ sin¹ sin² sin³ sinh sinh2 Sketch the graph SPDC stationary points tangent tends to infinity term in x4 u₁ velocity x-sin x+cos x²+1 y₁ Ип