- What limit must you calculate to compute \( f'(1) \), where
\( f(x) = x^{100} \)?
- Calculate
- \( \lim_{ x \to 0} [(1+x)^{1000} - 1]/x \)
- \( \lim_{ x \to 0} [(1+x)^{-1000} - 1]/x \)
- \( \lim_{ x \to 0} [(8+x)^{4/3} - 16]/x \)
Tags: diff, limits, higher-polynomial, using-a-definition, v--a, a--a, t1, c2
This problem should go quickly as long as the students are comfortable with the definition of derivative and know the power rule.
– Concha Gomez 1999-02-19