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

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9.<br />

10.<br />

11.<br />

Answer:<br />

Answer:<br />

2x − sin(x)<br />

lim<br />

x→0 2x − tan(x)<br />

2x − sin(x)<br />

lim<br />

x→0 2x − tan(x)<br />

= lim<br />

x→0<br />

= 1<br />

1<br />

= 1<br />

<br />

0<br />

0<br />

2 − cos(x)<br />

2 − sec2 (x)<br />

lim<br />

x→0 +<br />

<br />

1 1<br />

−<br />

x ex <br />

− 1<br />

lim<br />

x→0 +<br />

<br />

1 1<br />

−<br />

x ex <br />

− 1<br />

= lim<br />

x→0 +<br />

x e − 1 − x<br />

x(ex <br />

0<br />

− 1) 0<br />

L.H.<br />

= lim<br />

x→0 +<br />

ex − 1<br />

ex − 1 + xex <br />

0<br />

0<br />

L.H.<br />

= lim<br />

x→0 +<br />

= 1<br />

2<br />

e x<br />

e x + e x + xe x<br />

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

x→0 +<br />

11

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