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in this lesson were going to talk about how to find a limit at infinity so what is the limit as x approaches infinity for the function x squared so if x became very large what would x squared become so lets say if x was a thousand x squared would turn into a larger value its going to be one million so as x gets very large this turns into infinity as well it becomes even larger which a large number is still infinity now what about the limit as x approaches negative infinity of x squared well if we replace x with negative infinity when you square a negative number its going to be a positive number so any n is going to be positive infinity if you square a negative thousand a negative a thousand times a negative thousand is positive one million so you still get a very large positive number now what about the limit as x approaches infinity for positive x cubed infinity to the third power is still going to be a large positive number so thats going to be positive infinity and as x appro