Answer:
The limit of the given function : x³ + 5x² + 3x - 9x - 1 is -1
Step-by-step explanation:
The polynomial function for which we need to calculate the limit is given to be : x³ + 5x² + 3x - 9x - 1
[tex]\lim_{x \to 1} x^3+5x^2+3x-9x-1[/tex]
Now, since it is a polynomial function so the limit always exist for this function. Hence, we can directly substitute the value of x = 1 in the function and can find the resultant limit for the given function.
[tex]\lim_{x \to 1} x^3+5x^2+3x-9x-1\\\\\implies 1^3+5\times 1^2+3\times 1-9\times 1-1\\\\\implies 1 + 5+3-9-1\\\\\implies -1[/tex]
Therefore, The limit of the given function : x³ + 5x² + 3x - 9x - 1 is -1
