Find the number of iguanas present in the island intially

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Reference no: EM13866883

Question:

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Limits & Continuity

Question 1: Find the limits of the following

(a) Limx→∞ (x5 - 5x3 + 6x2)/(2x6 + 6x4 + x3)

(b) Limx→0 (5x1/2 + 3x2/3 + 4x3/4)/(6x1/3 + 9x1/5)

Question 2:

The population of iguanas introduced into an isolated island is given by

P(t) = 72/(9-t), 0 ≤ t ≤ 9 where t is measured in months.

i. Find the number of iguanas present in the island intially.

ii. Show that the population of iguanas is increasing without bound.

Question 3:

a. Given f(x) =  -1      if x < -2

                     x+1   if -2 ≤ x ≤ 1

                     x2 + x + 1  if x > 1

Is f(x) continuous

i. As x tends to -2?

ii. As x tends to 1?

iii. Everywhere throughout its domain?

Reference no: EM13866883

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Find the number of iguanas present in the island intially : Find the number of iguanas present in the island intially and show that the population of iguanas is increasing without bound.
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