Maclaurin Series | Maclaurin Theorem | Proof & Series Expansion | Part-I

[@gajendrapurohit]

Thanks for your comment, your appreciation always motivate us to do such kind work. Join Telegram Channel : t.me/mathsbygpsir Instagram Handle : instagram.com/dr.gajendrapurohit/ Facebook Page : facebook.com/Dr-Gajendra-Purohit-453775988491992/ Unacademy : unacademy.com/@Dr-GajendraPurohit Link to B.Sc. Maths Playlist : bit.ly/34tTTdc Link to Engineering Maths Playlist : bit.ly/2OQ7Uvd Link to IIT-JAM Maths Playlist : bit.ly/2sh9pei Link to GATE (Engg.) Maths Playlist : bit.ly/35EAPct Link to IAS Optional Maths Playlist : bit.ly/2rwkOqj Link to CSIR NET Maths Playlist : bit.ly/2R8sUjV Link to Aptitude Playlist : bit.ly/3ewDR7z Link to Mathematical Physics Playlist : bit.ly/2NvRHLJ Link to Abstract Algebra Playlist : bit.ly/2A70LUb Link to General Aptitude For CSIR NET : bit.ly/2ZeWpma Follwing Topics are also Available 1. Differential Calculus : bit.ly/2OTYXB0 2. Integral Calculus : bit.ly/34rLA1R 3. Differential Equation : bit.ly/37IOlO1 4. Partial Differential Equation : bit.ly/2OM5iyA 5. Complex Analysis : bit.ly/2OP8hGp 6. Numerical Analysis : bit.ly/2QYVQuy 7. Integral Transform (Laplace, Fourier & Z-Transform) : bit.ly/37HRKg9 8. Statistics & Probability : bit.ly/2DmOt7Z 9. Operation Research : bit.ly/2pYYRjp 10. Matrices (Linear Algebra) : bit.ly/2OOBSzO 11. Fourier Series : bit.ly/34u7iC9 12. Vector Calculus : bit.ly/2qICwXO 13. Theory Of Equation : bit.ly/2XU9y33 14. Special Function & Series Solution : bit.ly/2XRSU4l 15. Infinite Series : bit.ly/37K6gUI 16. Group Theory : bit.ly/3ieUze2 Please share it with your Friends Thanks Dr.Gajendra Purohit

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@@anungboss bhai derivation krna nhi ata kya ?

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[@IamFailure-s5j]

sir in 9:39 i have a very silly doubt jab f/g ko derivate karenge matlab -1/(1+x)2 ko derivate karnege to next wla 2/(1+x)4 aaega na shayad

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Wo sahi hai Bhai Power me 1 subtract hota hai So =-2-1 = -3 and niche aake (1+x)³

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Sir in 9:29, how did we get -6?

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Sir Sinx or logx aren't polynomial function but we already assumed that f(x) is an polynomial function of degree n which is wrong in case of trigonometric or logarithmic function.Then how can we calculate these series expansions by applying this ???

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Small doubt here. Why do we assume every function in form of a polynomial everytime in the proof of maclaurin series?

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Polynomials are easy to deal with,easy for differentiation,integration ,graph making etc.

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Remark - func. Should be continous and differentiable at x= 0

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@@shashankkumar3563 More generally, for taylor series, the function should be continuous and differentiable for all x belonging to R

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if you want to program a calculator to compute value for lets say sin(x)...you cant just store all values of sin(x) for every x...its rather tiring to program and store for all trig functions...so finding approx value using polynomials for any complex function is easier using these infinite series.

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Sir sinx cosx e ki power x ka series kaise nikalte hai sir

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