If you’re being rushed into a decision, you don’t want to calculate at all! Just use the well-known fact that (1−1n)n is an increasing function of n>1 (with limit e−1, as it happens).
If you’re being rushed into a decision, you don’t want to calculate at all! Just use the well-known fact that (1−1n)n is an increasing function of n>1 (with limit e−1, as it happens).