Question

1. Find the area of the shaded region. 2. Find the limit. Use l'Hospital's Rule where...

1.

Find the area of the shaded region.

2. Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it.

lim x → 0

1 + 10x
−
1 − 3x
x

3. Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it.

lim x→1

1 − x + ln(x)
1 + cos(9πx)

4. Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it.

lim x→0

e2x − e−2x − 4x
x − sin(x)

5. Consider the following function.

f(x) = 1 +

7
x

−

4
x2

Find the local maximum and minimum values. (If an answer does not exist, enter DNE

Math   Calculus   
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