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The x — 7 on the top and bottom cancel. The limit is simply the function value. Substitute the limit value into this function and simplify. This function, therefore, has a limit anywhere except as x approaches —1. When your pre-calculus teacher asks you to find the limit of a function algebraically, you have four techniques to choose from: Admins may or may not choose to remove the comment or block the author. Math, Better Explained A dozen math essentials. Therefore, you know to move on to the last technique. You said the number of integers is neither odd nor even , but I guess it is clearly odd. You're right though, it wouldn't make sense to compare them, and applying units is a good check to see if the variables have been mixed along the way. Then number of negatives is also x. So it is a special way of saying, "ignoring what happens when we get there, but as we get closer and closer the answer gets closer and closer to 2". I really want to understand the analogy, logic, mentality, etc of these matters. The terms cancel, at which point you can find the limit. Toggle navigation Search Submit. Now we can see that as x gets larger, 1 x tends towards 0. You can choose reporting category and send message to website administrator. But high school and university students are there to learn calculus, not calculus of variations, right? Free to read online. There is one more integer remaining , 0. But did you see the sneakiness? Think of it this way: What started as a small tutoring business in the garage of her California home quickly expanded and grew to the point where traffic control was necessary on her residential street. Which one had the ball at 4: The figure illustrates this.### Our: Limits for dummies

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