Final answer:
The question seeks to find the limit of a function as x approaches -5, which would typically be solved by factoring and simplifying the expression. However, due to a typographical error in the provided function, it's not possible to confidently solve for the specific limit.
Step-by-step explanation:
The question posed is requesting to find the limit as x approaches -5 for the function (x6 - 5x)/(x-(-5)). This type of problem falls under the subject of calculus and deals specifically with evaluating limits. The limit represents the value that a function approaches as the input (in this case x) approaches some value.
To solve this, we might try to directly substitute -5 into the function to see if it produces a determinate result. However, doing so would result in a division by zero, which is undefined. Therefore, we must seek alternative methods to simplify the expression or cancel out the factor causing the indeterminate form before proceeding with the substitution. One common technique is factoring, where we would look to factor the numerator and see if any common factors with the denominator can be cancelled out. If the factor (x + 5) can be cancelled from both the numerator and the denominator, we could then evaluate the limit by substitution.
Since the question as written appears to have a typographical error, and we do not have the proper function to evaluate, it is impossible to provide the specific steps to solve it. Therefore, I cannot confidently provide the correct evaluation of the limit for this function at this time.