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Đề cương Toán 11 năm học 2017 - 2018 trường THPT Hùng Vương - Thái Bình - Có đáp án

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1)<br />

lim<br />

x0<br />

3<br />

1 x 1<br />

x<br />

x<br />

ĐS /6<br />

12) lim<br />

x1<br />

3 3<br />

5 x x<br />

2 7<br />

x<br />

2<br />

1<br />

ĐS -<strong>11</strong>/24<br />

2)<br />

x1<br />

x1<br />

ĐS /<br />

3 3<br />

lim<br />

x0<br />

2 x 1 x 1<br />

13) lim<br />

x2<br />

3<br />

x 6 x<br />

2<br />

2<br />

x 4<br />

ĐS -1/24<br />

3)<br />

1x<br />

1<br />

ĐS /<br />

lim<br />

x0<br />

3 1 x 1<br />

14) lim<br />

x0<br />

1 4 x. 1 6x<br />

1<br />

ĐS<br />

x<br />

4)<br />

lim<br />

x0<br />

3<br />

2 1 x 8<br />

x<br />

x<br />

ĐS /<br />

15) lim<br />

x0<br />

3<br />

1 2 x. 1 4x<br />

1<br />

ĐS /<br />

x<br />

5)<br />

lim<br />

x4<br />

x4<br />

x<br />

2<br />

x 5x4<br />

3<br />

ĐS -1/18<br />

n<br />

(1 x)<br />

16) lim<br />

x1<br />

(1 x )<br />

ĐS /<br />

6)<br />

3<br />

2x10 x<br />

5<br />

lim<br />

x3<br />

2<br />

x 9<br />

ĐS -7/72<br />

7)<br />

3<br />

1 4x 1<br />

6x<br />

lim<br />

x 4<br />

x<br />

ĐS<br />

8)<br />

3<br />

10 x x<br />

2<br />

lim<br />

x2<br />

x 2<br />

ĐS -1/3<br />

9)<br />

3<br />

8x<strong>11</strong> x<br />

7<br />

lim<br />

x2<br />

2<br />

x 3x2<br />

ĐS /<br />

2 3 2<br />

1 8x<br />

1<br />

6x<br />

10) lim<br />

x0<br />

2<br />

x<br />

ĐS<br />

3 5<br />

(1 x)(1 x)(1 4 x)(1 x)<br />

17) lim<br />

x1<br />

4<br />

(1 x)<br />

ĐS /<br />

18) lim<br />

x0<br />

3<br />

x1 1 x ĐS /6<br />

x<br />

19) lim x<br />

ĐS -6<br />

x0<br />

3 8 3<br />

x 8 x<br />

8)<br />

lim<br />

x1<br />

2<br />

2x 1 x 3x<br />

1<br />

3<br />

2<br />

x 2 x x 1<br />

ĐS<br />

3<br />

8x<strong>11</strong> x<br />

7<br />

<strong>11</strong>) lim<br />

x2<br />

2<br />

2<br />

x 5 x<br />

2<br />

ĐS / 6<br />

sinx tan x<br />

Bài 7: Tìm các gi i h n sau: (lim 1;lim 1)<br />

x0 x x0<br />

x<br />

1)<br />

2)<br />

3)<br />

sin x<br />

lim ĐS 2/<br />

x<br />

<br />

x<br />

2<br />

1<br />

x<br />

lim<br />

x0<br />

cos<br />

1<br />

cos 2x<br />

10) lim ĐS<br />

x0<br />

2<br />

x<br />

cos x<br />

cos7x<br />

ĐS<br />

<strong>11</strong>) lim<br />

ĐS<br />

x0<br />

2<br />

x<br />

tan x<br />

sin 2x<br />

cos x<br />

cos3x<br />

lim<br />

ĐS<br />

12) lim<br />

ĐS<br />

x0<br />

2<br />

x0<br />

cos x<br />

sin x<br />

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