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End Behavior of a Function - L’Hospital’s Rule

In: Applied Calculus with R

Author

Listed:
  • Thomas J. Pfaff

    (Ithaca College, Department of Mathematics)

Abstract

One of our motivations for this chapter is that it is common to hear someone refer to exponential growth any time they see a graph that is concave up and increasing. This is not true. In the function gallery, for example, both the global temperature and CO2 models are increasing and concave up but the functions are not exponential functions as they are quadratic polynomials. As we will see in this chapter, there is a big difference in the growth of an exponential function as compared to a quadratic polynomial. We start with an example.

Suggested Citation

  • Thomas J. Pfaff, 2023. "End Behavior of a Function - L’Hospital’s Rule," Springer Books, in: Applied Calculus with R, chapter 0, pages 199-208, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-28571-4_16
    DOI: 10.1007/978-3-031-28571-4_16
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