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Limits and Exponential Population Growth

5. Find the limit of the following functions. Justify your answer using algebra or explain via a sketch how the graphing calculator is used to get the answer. If the limit does not exist, write D.N.E. and justify (explain) why the limit does not exist.

a.

b.

6. The population of Wichita, Kansas was 344,284 in 2000 and grew to 360,715 in 2003. The population is expected to continue to grow exponentially at the same rate.

a. Find an exponential model for this growth. Let t=0 correspond to the year 2000.

b. Use the model from part a. to estimate the population in 2008.

c. In what year will the population reach 400,000?

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Limits and Exponential Population Growth are investigated. The solution is detailed and well presented.

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