If an annuity can make an unending number of equal payments at the end of the interest periods, it is called a perpetuity. If a lump sum investment ofAn is needed to result in n periodic payments of R when the interest rate per period is i, then 1 1 +I' 7\" A\" : 44]. l (a) Evaluate lim A to find a formula for the lump sum payment for a perpetuity. nvao n R i (b) Find the lump sum investment needed to make payments of $200 per month in perpetuity if interest is 6%, compounded monthly. (Round your answer to the nearest cent.) 1; 1575.77 x