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Math 220 March 7 I. If 1200 cm2 of material is available to make a ...

Math 220 March 7 I. If 1200 cm2 of material is available to make a ...

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4.<br />

5.<br />

Answer:<br />

Answer:<br />

Answer:<br />

lim<br />

x→0 +<br />

ln( √ x)<br />

x2 = lim<br />

x→0 +<br />

(1/2) ln(x)<br />

= lim<br />

x→0 +<br />

= lim<br />

x→0 +<br />

= −∞<br />

5<br />

lim<br />

x→0<br />

x − 7x x 2<br />

ln(x)<br />

2x2 1 1<br />

(ln(x) − ) (∞ · −∞)<br />

x 2x<br />

5<br />

lim<br />

x→0<br />

x − 7x x<br />

x<br />

L.H.<br />

= lim<br />

x→0<br />

<br />

0<br />

0<br />

= ln(5) − ln(7)<br />

ln(5)5 x − ln(7)7 x<br />

1<br />

sin(x) − x<br />

lim<br />

x→0 x<br />

<br />

sin(x) − x 0<br />

lim<br />

x→0 x 0<br />

L.H. cos(x) − 1<br />

= lim<br />

x→0 1<br />

= 0<br />

9

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