AP Calculus BCApproximating tan−1𝑥 with partial sums of a power series 
𝑓𝑥=tan−1𝑥 
𝑓𝑥=tan−1𝑥 𝑠1=𝑥 
𝑓𝑥=tan−1𝑥 𝑠2=𝑥−𝑥33 
𝑓𝑥=tan−1𝑥 𝑠3=𝑥−𝑥33+𝑥55 𝑠3=𝑥−𝑥33+𝑥55 
𝑓𝑥=tan−1𝑥 𝑠4=𝑥−𝑥33+𝑥55−𝑥77 
𝑓𝑥=tan−1𝑥 𝑠5=𝑥−𝑥33+𝑥55−𝑥77+𝑥99 
𝑓𝑥=tan−1𝑥 𝑠6=𝑥−𝑥33+𝑥55−𝑥77+𝑥99−𝑥1111 
𝑓𝑥=tan−1𝑥 𝑠7=𝑥−𝑥33+𝑥55−𝑥77+𝑥99−𝑥1111+𝑥1313