Find the given limit by evaluating the derivative of a suitable function at an appropriate point. 
Definitions:
Infect
The act of causing disease by introducing a pathogen or harmful microorganism into a host organism.
Immunodeficiency Virus
A type of virus that attacks the immune system, leading to a progressive failure of immune response.
Acquired Immunodeficiency Syndrome
A chronic, potentially life-threatening condition caused by the human immunodeficiency virus (HIV) which severely damages the immune system.
Enveloped Virus
A virus that has an outer lipid bilayer membrane derived from the host cell, surrounding its capsid, which aids in infecting host cells by fusing with the host's membrane.
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