The limit of the function \( p(t) = M \cdot \exp(D \cdot \exp(c \cdot t)) \) as \( t \) approaches infinity is evaluated in this discussion. The exponential growth of \( \exp(c \cdot t) \) dominates the behavior of \( p(t) \) under the assumption that \( D \) and \( c \) are constants. As \( t \) increases, \( p(t) \) approaches infinity if \( D > 0 \) and \( c > 0 \). Clarification on the values of constants \( D \) and \( c \) is essential for a complete analysis.
PREREQUISITESStudents and professionals in mathematics, particularly those studying calculus and limits, as well as anyone interested in understanding the behavior of exponential functions in mathematical analysis.
\( p(t) = M \cdot \exp (D \cdot \exp (c \cdot t) ) \)