# How do you find the taylor series for #sinx# in powers of #x-pi/4#?

As per the Taylor series definition, it ought to be

You'll notice that a periodic pattern starts to emerge.

Ultimately, if my computations are accurate, you ought to discover that the Taylor pattern is

The integer portion or floor function is represented by the "strange" bracket sign in the formula above.

Footnote

View the definitions of integer part function and Taylor series.

The Taylor Series

Function of an integer part

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