1003035905
Level:
A
Find the limit \( \lim\limits_{n\rightarrow\infty} \left( \frac{2n-2}{n+1}+\frac{5n+3}{n-4} \right) \).
\( 7 \)
\( \infty \)
\( 0 \)
\( 10 \)
\( -6 \)
A
1003035904
Level:
A
Find the limit \( \lim\limits_{n\rightarrow\infty}\left(\frac{2n-2}{n+1}\cdot\frac{5n+3}{n-4}\right) \).
\( 10 \)
\( \infty \)
\( 0 \)
\( 7 \)
\( -6 \)
1003035903
Level:
A
Find the limit \( \lim\limits_{n\rightarrow\infty}\left(5n^2+2n-1\right) \).
\( \infty \)
\( 5 \)
\( 0 \)
\( 2 \)
\( -1 \)
1003035901
Level:
A
Find the limit \( \lim\limits_{n\rightarrow\infty}\left(4+\frac3{2n-1}\right) \).
\( 4 \)
\( \frac32 \)
\( \infty \)
\( 0 \)
\( \frac{11}2 \)
1103067903
Level:
A
Find the area of the yellow region indicated in the picture.
\( 8\pi \)
\( 6\pi \)
\( 2\pi \)
\( 10\pi \)
1103067902
Level:
A
Find the area of the region bounded by the curves \( y=x^3-5x^2+3x+5\text{, }x=0\text{, }x=1\text{, }y=-x+5 \) as indicated in the picture.
\( \frac7{12} \)
\( \frac{41}{12} \)
\( \frac{47}{12} \)
\( \frac5{12} \)
1103067901
Level:
A
Find the area of the yellow region indicated in the picture.
\( 6 \)
\( 0 \)
\( 3 \)
\( -6 \)
1103068103
Level:
A
Find the area of the yellow region indicated in the picture.
\( 2\sqrt2 \)
\( 2\sqrt3 \)
\( \sqrt2 \)
\( 4\sqrt2 \)
1103068102
Level:
A
Find the area of the yellow triangle ABC indicated in the picture. Read all the needed values from the picture.
\( 10 \)
\( 11 \)
\( 9.5 \)
\( 10.5 \)
1103068101
Level:
A
Find the area of the yellow region that is bounded by the parabola and the line as is indicated in the picture. Read all the needed values from the picture.
\( 4.5 \)
\( 22.5 \)
\( 3.75 \)
\( 10.25 \)