Page 8 - e-book Calculcs I

lim →−2 8 −3 +2 −2 + −1 +1 − 10
+2
8
5
lim →−2 8 −3 +2 −2 + −1 +1 = −
+2
4

2
5.lim →+∞ √ +4
+4
2
2
lim →+∞ √ +4 = lim →+∞ √ (1+ 4 2 )
+4
+4
| |√1+ 4 2
= lim →+∞
4
(1+ )

4
√1+ 2
= lim →+∞ 4
(1+ )

= 1

2
6. lim →−∞ √5 −2
+3
2
2
lim →−∞ √5 −2 = lim →−∞ √ (5− 2 2 )
+3
+3
| |√5− 2 2
= lim →−∞
3
(1+ )

2
− √5− 2
= lim →−∞ 3
(1+ )

= −√5

4
7. lim →−∞ √3 +5 +1
2
−9
4
4
lim →−∞ √3 +5 +1 = lim →−∞ √ (3+ 5 3 9 + 1 4 )
2
−9
2
(1−
2 )
2
| |√3+ 5 3 + 1 4
= lim →−∞ 2 9
(1−
2 )
2
√3+ 5 3 + 1 4
= lim →−∞ 9
2
(1− )
2
= √3

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