Exercise
$\lim_{p\to1}\left(p^2-p+1\right)^{\frac{1}{p-1}}$
Step-by-step Solution
Learn how to solve differential calculus problems step by step online. Find the limit of (p^2-p+1)^(1/(p-1)) as p approaches 1. Rewrite the limit using the identity: a^x=e^{x\ln\left(a\right)}. Multiplying the fraction by \ln\left(p^2-p+1\right). Apply the power rule of limits: \displaystyle{\lim_{x\to a}f(x)^{g(x)} = \lim_{x\to a}f(x)^{\displaystyle\lim_{x\to a}g(x)}}. The limit of a constant is just the constant.
Find the limit of (p^2-p+1)^(1/(p-1)) as p approaches 1
Final answer to the exercise
$e$