Evaluate the limit: `lim_{x->-7}{x^2+13x+42}/{x+7}`

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To evaluate this limit, we see that with direct substitution the limit is 0/0, which means that we need to use another method.

In this case, factoring is needed.

`lim_{x->-7}{x^2+13x+42}/{x+7}` factor the numerator

`=lim_{x->-7}{(x+6)(x+7)}/{x+7}` cancel the common factors

`=lim_{x->-7}(x+6)` sub in the value

`=-7+6`

`=-1`

**The limit evaluates to -1.**

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