<h2>
Answer:</h2>
<em>Domain:</em> (−∞,∞) , {x|x∈R}
<h2>
explanation:</h2>
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
<u><em>Interval Notation:</em></u>
(−∞,∞)
<u><em>Set-Builder Notation:</em></u>
{x|x∈R}
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Answer:
112.5
Step-by-step explanation:
200 - 87.5 = 112.5
12.50 as 12.50 x 5 is 62.50 or as we know 62.50 for 5 we do 62.50/5 to get 12.50
<span>If you plug in 0, you get the indeterminate form 0/0. You can, therefore, apply L'Hopital's Rule to get the limit as h approaches 0 of e^(2+h),
which is just e^2.
</span><span><span><span>[e^(<span>2+h) </span></span>− <span>e^2]/</span></span>h </span>= [<span><span><span>e^2</span>(<span>e^h</span>−1)]/</span>h
</span><span>so in the limit, as h goes to 0, you'll notice that the numerator and denominator each go to zero (e^h goes to 1, and so e^h-1 goes to zero). This means the form is 'indeterminate' (here, 0/0), so we may use L'Hoptial's rule:
</span><span>
=<span>e^2</span></span>