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Ask iit jee aieee pet cbse icse state board experts Expert Question: derivation of sine/cosine/tan/exponential series required
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shaq_1241 (16)

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Kindly tell me the derivation process required  to derive the sine/cosine/tan/exponential series , which are frequently used in limits....... need it b4 saturday...................
    
iitkgp_bipin (6466)

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You can derive the series by using Taylor series expansion :

f(x+h) = f(h) + x.f'(h) + (x2/2!)f''(h) + (x3/3!)f'''(h) + ......

Put h=0 i.e. series expansion about x=0.

f(x) = f(0) + x.f'(0) + (x2/2!)f''(0) + (x3/3!)f'''(0) + ......

Apply this for f(x) = sinx, you'll get :

sinx = x - x3/3! + .......

Similarly you can apply it for other functions.




Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur

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deepak_agarwal (539)

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hey dere is a series cald maclaren series vich is used for d derivation
acc 2 it
f(x)=f(0) + f '(0) x/1 + f " (0) x/  2 +............
 
derefore u can derive d series

a 2nd year IIT DELHI student, doing B.Tech in chemical engineering
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shaq_1241 (16)

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thank you very much...................thnx thnx thnx ..............
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by the way by wat name is this series appropriately called taylor series or clad maclaren series....
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