Following is the formula to calculate continuous compounding a = p e^(rt) continuous compound interest formula where, p = principal amount (initial investment) r = annual interest. Proving the inverse of a continuous function is also continuous ask question asked 12 years, 1 month ago modified 7 years, 11 months ago In general, is a bounded linear operator necessarily continuous (i guess the answer is no, but what would be a counter example?) are things in banach spaces always continuous? To find examples and explanations on the internet at the elementary calculus level, try googling the phrase continuous extension (or variations of it, such as extension by continuity).
