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The Limit Theorems

The Limit Theorems. Limit of a Constant Function. If f(x)=k , where k is a constant, then Example: f(x)=4 Find the limit as x approaches 3. Limit of the Identity Function. If f(x)=x, then Example: f(x)=x Find the limit as x approaches 3. Limit of a Constant Times a Function.

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The Limit Theorems

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  1. The Limit Theorems

  2. Limit of a Constant Function • If f(x)=k, where k is a constant, then • Example: f(x)=4 Find the limit as x approaches 3.

  3. Limit of the Identity Function • If f(x)=x, then • Example: f(x)=x Find the limit as x approaches 3.

  4. Limit of a Constant Times a Function • If , then • Example: f(x)=4x Find the limit as x approaches 3.

  5. Limit of a Sum of Two Functions • If , then • Example: f(x)=x + 4 Find the limit as x approaches 3.

  6. Limit of a Product of Two Functions • If , then • Example: f(x)=x2 Find the limit as x approaches 3.

  7. Limit of a Quotient of Two Functions • If , then • Where • Example: f(x)=x ÷ x Find the limit as x approaches 3.

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