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DE DA KIEM TRA DS 11 CHUONG IV
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Mô tả chi tiết
KIỂM TRA 45’
MÔN: GIẢI TÍCH 11 (cơ bản)
Câu 1:(6.0 điểm) Tính các giới hạn sau:
) lim 2 2 ( ) n
a n n
→+∞
+ − − ;
2
2
7 10 )lim
x 2
x x b
→ x
− +
−
;
3
2
1
2
)lim
x 1
x x
c
→ x
+ −
−
;
2
2
4 1 3 )lim
x 4
x
d
→ x
+ −
−
Câu 2: (1.0 điểm) Tính : 1 1 1 ( 1)
... ... ?
2 4 8 2
n
n
S
−
= − + − + + + =
Câu 3: (3.0 điểm) Cho hàm số
2
3 2 2
( ) 2
2
x x khi x f x x
x b khi x
− + >
= −
+ ≤
a) Tìm ( ) ( )
2 2
lim ; lim ;
x x
f x f x
→ → − +
b) Tìm b để hàm số liên tục trên ¡ .
Bài làm
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