Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.)lim h→0 (3 + h)3 − 27h
Question
Solution 1
To solve this limit, we can use the limit properties and the binomial theorem.
The binomial theorem states that (a + b)^n = a^n + n*a^(n-1)*b + ... + b^n.
So, (3 + h)^3 = 3^3 + 3^23h + 33^2*h^2 + h^3 = 27 + 27h + 27h^2 + h^3.
Therefore, the expression (3 + h)^3 - 27h becomes 27 + 27h + 27h^2 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv
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