The limit of the function as h approaches 0 for the expression lim h->0 [(11+h)^-1 - 11^-1]/h evaluates to 121. The initial approach involved rewriting the numerator into two fractions with a common denominator of h. However, a sign error was identified in the calculations, which necessitates a review of the algebraic manipulations performed. Correcting this error is essential for accurate results in limit evaluations involving negative exponents.
PREREQUISITESStudents studying calculus, particularly those focusing on limits and derivatives, as well as educators seeking to clarify concepts related to negative exponents and limit evaluations.
alexk307 said:Homework Statement
lim h->0 [(11+h)^-1 - 11^-1]/h
Homework Equations
The Attempt at a Solution
I made the numerator into two fractions with the denominator h. After combining the fractions in the numerator I was left with 121 when I put in 0 for h.