Math Problem Statement
Evaluate the limit as x approaches 0 of (cube root of (1+c*x) -1 all divided by x
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Limits
Differentiation
Series Expansion
Formulas
L'Hôpital's Rule: lim(x→0) f(x)/g(x) = lim(x→0) f'(x)/g'(x) if 0/0 form
Chain Rule for differentiation
Binomial Approximation for series expansion
Theorems
L'Hôpital's Rule
Taylor Series (used for binomial expansion)
Suitable Grade Level
Grades 11-12 (Pre-Calculus/Calculus)