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

Find the limits (i) `(lim)_(x->1)[(x^2+1)/(x+100)]` (ii) `(lim)_(x->2)[(x^3-4x^2+4x)/(x^2-4)]`

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Let's solve the given limits step by step. ### Part (i): Find the limit as \( x \to 1 \) for \( \frac{x^2 + 1}{x + 100} \) 1. **Substituting the value of \( x \)**: \[ \lim_{x \to 1} \frac{x^2 + 1}{x + 100} = \frac{1^2 + 1}{1 + 100} \] ...
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