ĐỀ ÔN TẬP CUỐI KỲ MÔN GIẢI TÍCH 1 Question 1 (2 points) Find the limits a) 2 0 ( 1)cos 1 lim ( 1)cosx x x x x x x b) lim sinx x x x Question 2 (1 point) Find out whether the function is continuous or.
Trang 1ĐỀ ÔN TẬP CUỐI KỲ MÔN GIẢI TÍCH 1
Question 1 (2 points): Find the limits
a)
2 0
lim
x
b) lim
sin
x
x
Question 2 (1 point): Find out whether the function is continuous or discontinuous
1 cos 3
( 0) sin
( )
9 ( 0) 2
x x
f x
x
Question 3 (1 point): Find an explicit formula for a n if 1 1
2
2
n
n
a
a with n 1
Question 4 (1 point): Let f x( ) x x( 1)(x 2) (x 2020) Find f (1010) and f (1010)
Question 5 (1 point): Calculate the area of the region bounded by the axis Ox, y 2017 5x, 2017
Question 6 (2 points): Compute the integrals
a) cos ln(sin )x x dx
1
x
dx x
Question 7 (2 points): Test the convergence or divergence of the following series
a)
3
1
n
n
b)
2
1 3n 5
n
n
HẾT