For each ofthe two functions i on [1, 00) defined below, show that limn -+ 00 i; i exists while i is not integrable over [1, 00). does this contradict the continuity of integration? (i) define i(x) = (-inn, forn: s x < n + 1. (ii) define i(,t) = (sinx )/x for 1 : s x < 00.

Desmond wants to sell his car that he paid $8,000 for 2 years ago. the car depreciated, or decreased in value, at a constant rate each month over a 2-year period. if x represents the monthly depreciation amount, which expression shows how much desmond can sell his car for today? \ 8,000 + 24x 8,000 - 24x 8,000 + 2x 8,000 - 2x

Aright triangle has an area of 21 m2. the dimensions of the triangle are increased by a scale factor of 4. what is the area of the new triangle

Each day jake donates money to the global.