Per NCERT, what is the MĀDHAVA infinite series formula for π that birthed calculus?
Aπ = 22/7 exactly
Bπ/4 = 1 − 1/3 + 1/5 − 1/7 + ... (alternating reciprocals of odd numbers)
Cπ = 4 sin(x)/x
Dπ = √10 exactly
Answer & Solution
Correct answer: B. π/4 = 1 − 1/3 + 1/5 − 1/7 + ... (alternating reciprocals of odd numbers)
Mādhava of Sangamagrāma's series (per NCERT) is π/4 = 1 − 1/3 + 1/5 − 1/7 + ... — the first exact formula for π. The other options are approximations or unrelated.
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