Question

Expend tanx in series upto 4th turms in power of x-π/4

Answer 1

Answer:

= 2f''(π/4) = 4 a2 = 4/2! = 2f'''(π/4) = 16 a3 = 16/3! = 8/3From this we can conclude tan(x) = 1 + 2(x-π/4) + 2(x-π/4)2 + (8/3)(x-π/4)^3.