Limits of sequences and growth comparisons

Limits of sequences and growth comparisons

Build understanding of sequence limits and growth comparisons for the optional calculus bridge. Explore rational terms, oscillation, boundedness, exponential versus polynomial growth, and the crucial difference between a sequence and its partial sums. Single-select and multiselect tasks progress from recognizing behavior to explaining it with algebra and elementary bounds. Detailed solutions expose misleading finite patterns and the mistaken claim that terms tending to zero ensure a convergent series. Advanced convergence tests and derivative-based limit methods are not required.