lim(e^(t) - t)^((1)/(t))

t->0

asked by guest
on Jan 21, 2025 at 2:39 am



You asked:

Evaluate the expression: \(\lim_{t \to 0}{{\left( {e}^{t} - t \right)}^{\frac{1}{t}}}\)

MathBot Answer:

\[\lim_{t \to 0}{{\left( {e}^{t} - t \right)}^{\frac{1}{t}}} = 1\]

\(e\) is Euler's number, a mathematical constant that is approximately \(2.71828\).