\fUse I'Hopital's Rule to find the limit. 5y + 25 - 5 lim y-0 Select the correct choice below and fill in any answer boxes in your choice. 5y + 25 -5 O A. lim = (Type a simplified fraction.) y-0 O B. The limit does not exist.Find the limit. In x lim 2 X-+00 X" Select the correct choice below and, if necessary, fill in the answer box within your choice. In x O A . lim = X-+00 x2 O B. The limit does not exist and is neither oo nor - co.Find the limit. In x lim X-+00 VX Select the correct choice below and, if necessary, fill in the answer box within your choice. In x O A. lim = X-+00 VX O B. The limit does not exist and is neither oo nor - co.Find the limit. In ( In x) lim In x X-+00 Select the correct choice below and, if necessary, fill in the answer box within your choice. In ( In x) O A. lim = In x X-+00 O B. The limit does not exist and is neither co nor - co.Find the limit. 14 X lim X-+00 Select the correct choice below and, if necessary, fill in the answer box within your choice. 14 X OA. lim = (Simplify your answer.) X-+00 O B. The limit does not exist and is neither co nor - 00.Find the limit. 2 sin 3x lim X-0 5x- Select the correct choice below and, if necessary, fill in the answer box within your choice. 2 sin 3x O A. lim = (Simplify your answer.) X-+0 5x2 O B. The limit does not exist and is neither co nor - co.Find the indicated limit. Note that I'Hdpital's rule does not apply to every problem, and some problems will require more than one application of I'Hopital's rule. Use co or on when appropriate. I_ 3x2 Im 53{ iiirm t\" E Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 3x2 (a? A Ill'ri E = '-' ' Xrcsan'? {Type an exact answer in simplied form.) C? a. The limit does not exist. The Gamma distribution is used as a model for the amount of time taken for a cell to undergo a certain number of divisions. According to the Gamma distribution the likelihood that it takes t hours for the cell to complete all of its divisions is proportional to: f(t) = the * where p > - 1 is a constant that depends on the number of cells that are dividing, and on the conditions that the cells are growing in. (a) Show that for all values of p, f(t)-0 as t-+co. (b) For what values of p does f(t) converges to a finite value as t-0