# How do you use the properties of summation to evaluate the sum of #Sigma i(i^2+1)# from i=1 to 10?

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To evaluate the sum of Σi(i^2 + 1) from i = 1 to 10, you can use the properties of summation. First, expand the expression inside the sigma notation. Then, apply the distributive property of summation to split the expression into two separate sums. Next, evaluate each sum separately using the formulas for the sum of consecutive integers and the sum of consecutive squares. Finally, sum up the results of the two separate sums to find the overall sum of the expression.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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