Answer: The limit of the given function as x approaches 2 is 18.
Step-by-step explanation: We are given to find the limit of the following function by using direct substitution.
"limit as x approaches two of quantity x squared plus eight x minus two".
The given function can be written as
[tex]f(x)=x^2+8x-2.[/tex]
Since we are to find the value of the limit by direct substitution, so we get
[tex]L\\\\=\lim_{x\rightarrow 2}f(x)\\\\=\lim_{x\rightarrow 2}(x^2+8x-2)\\\\=2^2+8\times 2-2\\\\=4+16-2\\\\=18.[/tex]
Thus, the limit of the given function as x approaches 2 is 18.
