Differential and Integral Calculus| Feliciano and Uy| Limit of a Function| Exercise 1.2| Problem 6


Evaluate \displaystyle \lim_{x\to 2}\left(4x-3\right)\left(x^2+5\right)


Solution:

Plug in the value x=2.

\displaystyle \lim\limits_{x\to 2}\left(4x-3\right)\left(x^2+5\right)=\left[\left(4\cdot 2\right)-3\right]\left[\left(2\right)^2+5\right]

\displaystyle =\left[8-3\right]\left[4+5\right]

\displaystyle =\left(5\right)\left(9\right)

\displaystyle =45


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