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Find the limits: (i) lim(x->1)[x^3-x^2+1...

Find the limits: (i) `lim_(x->1)[x^3-x^2+1]` (iii) `lim_(x->3)[x(x+1)]`(iii) `lim_(x->1)[1+x+x^2+. . . . .+x^(10)]`

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To find the limits of the given functions, we will evaluate each limit step by step. ### (i) Find `lim_(x->1)[x^3 - x^2 + 1]` **Step 1:** Identify the function and the point at which we are taking the limit. The function is \( f(x) = x^3 - x^2 + 1 \) and we are taking the limit as \( x \) approaches 1. **Step 2:** Substitute \( x = 1 \) into the function. ...
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