Evaluate the limit. (Use symbolic notation and fractions where needed. Enter "DNE" if the limit does not exist.) lim _(xarrow -1)(x^2+10x+21)/(x+3)=square

Question

Answer 1

To evaluate the limit

, we first attempt to simplify the expression by factoring the numerator.The numerator

can be factored as:

So the original limit becomes:

We can cancel the common factor \((x + 3)\) in the numerator and denominator, provided

:

Now, we can directly substitute

into the simplified expression:

Therefore, the limit is:

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