I need help with Part C of the Project question Thank you SE

I need help with Part (C) of the Project question
Thank you

SECTION PROJECT Wildflowers The diversity of wildflowers in a meadow can be measured by counting the numbers of daisies, buttercups, shooting stars, and so on. When there are n types of wildflowers, each with a proportion p, of the total population, it follows that Pi + Pt +P1 The measure of diversity of the population is defined as In this definition, it is understood that p, kg3M = 0 when P, = 0. The tables show proportions of wildflowers in a meadow in May. June, August, and September Flower type2 3 4 June Flower type 2 3 4 Proportion August Flower type34 Proportion September Flower type 2 34 Proportion 00 0I (a) Determine the wildflower diversity for each month. How would you interpret September\'s diversity? Which month had the greatest diversity (b) When the meadow contains 10 types of wildflowers in roughly equal proportions, is the diversity of the population greater than or less than the diversity of a similar distribution of 4 types of flowers? What type of distribution (of 10 types of wildflowers) would produce maximum diversity? (c) Let H, represent the maximum diversity of n types of wildflowers. Does H, approach a limit as n approaches oo? FOR FURTHER INFORMATION Biologists use the concept

Solution

Yes, Hn converges as n approaches infinity.

Or We can say as n tends to infinity, Hn tends to finite value.