Find aₙ, if the function f(x) = x - x³?
- Infinite value
- Finite value
- Can't be found
- None of these
Explanation
If aₙ means the coefficient of xⁿ in the power series/Taylor series of f(x) = x - x³, then:
f(x) = x - x³ = 0 + 1·x + 0·x² + (-1)·x³ + 0·x⁴ + 0·x⁵ + ...
So:
a₀ = 0
a₁ = 1
a₂ = 0
a₃ = -1
a₄ = 0, a₅ = 0, ... all higher terms = 0
0 is also a finite value.
Last verified on 04-06-2026
Related MCQs
- ||T(x)|| ≤ C||x|| for all x
- ||T(x)|| = 0 for all x
- ||T(x)|| is always greater than ||x||
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- 1
- 2
- 3
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- e²ˣ
- e⁻²ˣ
- 2eˣ
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
