For example, instead of using trigonometric functions like sinx or cos x, we decide to use taylor expansion of such functions. Is there any limitations?.
Taylor expansions can be effectively used only for sufficiently small arguments of
trygonometric functions when they converge fast. For larger arguments you'll have to use, additionally, appropriate formula e.g. sin(2x)=2sin(x)cos(x) to reduce the value of the arguments.
Dear Adedayo,
Adding to Jerzy,the answer of your question is given in the attached link:http://www.efunda.com/math/taylor_series/trig.cfm
The restriction on the value of x is also given
For the sine and cosx functions x can be from mince infinity to plus infinity.
The number of dominant terms depends on the value of x as hinted by Jerzy.
Best wishes
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