The intrinsic rate of natural increase is represented by which of the following?

Asymptote in a logistic growth curve is obtained when

Exponential growth cannot be sustained for a long time due to:
$I.$ Limited space and nutrients
$II.$ Accumulation of toxic agents
$III.$ Unlimited space and nutrients
$IV.$ Accumulation of nutrient agents
Choose the correct combination of options:

High growth at the time of the exponential phase of the human population growth curve is due to:

Assertion: In a sigmoid growth curve,the population finally stabilizes itself.
Reason: Finally,the death rate increases more than the birth rate.

Which of the following formulas can be used to measure exponential growth?