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A function f(theta) is defined as f(thet...

A function `f(theta)` is defined as `f(theta)=1-theta+(theta^(2))/(2!)-(theta^(3))/(3!)+(theta^(4))/(4!) +....` Why is it necessary for `f(theta)` to be a dimesnionless quantity ?

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Since, `f (theta)` is a sum of different power of `theta` and as RHS is dimensionless, hence LHS should also be dimensionless.
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