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What's the limit of when tends to infinity?
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Q. What's the limit of when tends to infinity?
- Given Function Simplification: We are given the function and we want to find the limit as approaches infinity. To do this, we can divide each term in the numerator by to simplify the expression.
- Divide by x: Divide each term in the numerator by x:.
- Limit of Individual Terms: Now, we consider the limit of each term separately as approaches infinity: , since is a constant and its limit is itself. , because as becomes very large, approaches .
- Combine Limits: Combine the limits of the individual terms to find the limit of the entire expression: .
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