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

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12.<br />

13.<br />

Answer:<br />

Answer:<br />

Answer:<br />

lim (sin(x) ln(x))<br />

x→0 +<br />

= lim<br />

x→0 +<br />

ln(x)<br />

csc(x)<br />

L.H.<br />

= lim<br />

x→0 +<br />

1/x<br />

− csc(x) cot(x)<br />

= lim<br />

x→0 +<br />

− sin2 <br />

(x) 0<br />

x cos(x) 0<br />

L.H.<br />

= lim<br />

x→0 +<br />

−2 sin(x) cos(x)<br />

cos(x) − x sin(x)<br />

= 0<br />

1<br />

= 0<br />

lim<br />

x→0 +<br />

2<br />

x − ln(x )<br />

lim<br />

x→0 +<br />

2<br />

x − ln(x )<br />

= lim (x − 2 ln(x))<br />

x→0 +<br />

= 0 − (−∞)<br />

= ∞<br />

lim (tan(3x))6x<br />

x→0 +<br />

12

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