1. [2+3z5 points total] Let f be afunction with continuous f\" such that f(2) : O7 f'(2) : 3, and f\"(2) : 4. Evaluate the following limits: (a) lim f(2+x) f(2+5:1:) m>0 a: (b)1im 4f(2+3$) +f(2) 3f(2+4:17) 27>0 $2 2. [5 points] The perpetual income stream to be derived from the investment in a pro- posed new soft drink is assumed to ow continually at the rate of P(t) : are\"2t If the prevailing interest rate is assumed to be 5% compounded continuously, What is the present value of the investment