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Limits of square roots

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Could you please show me how to calculate the examples attached? Thank you.

5. lim (x+1)/SQRT (10+x) - 3
x->-1

6. lim (x-1)/SQRT (x+3) - 2
x->1

7. lim (2x+7)(5x - 1)(12x + 2)/(2x - 7)^3
x->∞

8. lim (3x+7)(4x - 1)(9x + 1)/(3x - 5)^3
x->∞

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Solution Summary

The solution provides step by step method for the calculation of limit using L'Hospital's rule.

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Please see the attachment.
5.
Answer
(Form )
Applying L'Hospital's rule, we get,
= = = 2 * 3 = 6
6.
Answer
(Form )
Applying L'Hospital's rule, we ...

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