karush said:
Prove It is not giving you the answer he is giving you a suggestion that you can use the limit he posted. See if there is any kind of substitution you can make to put your limit into the form he gave you.karush said:
karush said:
The limit of a power function is the value that a function approaches as its input approaches a specific value, also known as the limit point. It is denoted by the notation lim x→a f(x) and can be calculated by evaluating the function at values increasingly closer to the limit point.
A power function is a type of polynomial function, but it has a specific form of ax^n, where n is a real number. The limit of a power function can be calculated using the same methods as a polynomial function, but it may have a different limit value depending on the value of n.
Yes, the limit of a power function can be calculated at infinity. This is known as the horizontal asymptote of the function and can be found by evaluating the limit as x approaches infinity or negative infinity.
The degree of a power function, represented by n, determines the behavior of the function near its limit point. If n is even, the function will have a similar behavior on both sides of the limit point. If n is odd, the function will have different behaviors on each side of the limit point, with one side approaching positive infinity and the other approaching negative infinity.
Yes, there are a few special cases when calculating the limit of a power function. If the limit point is the base of the power function, the limit will be equal to the exponent. Additionally, if the limit point is a negative number and the exponent is even, the limit will be undefined. Finally, if the limit point is a negative number and the exponent is odd, the limit will be equal to negative infinity.
