Limit questions
411 published questions with worked solutions.
- Define f(x)= cases b-ax, & if x<2 3, & if x=2 a+2bx, & if x>2 cases and if _ x 2 f(x) exists, then a b =
- _ x 0 ( x - x x ) ( 1x )
- _ x 0 ( ^2x) x^2 equals
- The value of _ x 0 1x [ ^ -1 ( x + 1 2x + 1 ) - 4 ] is :
- If f(x) is continuous and f ( 92 ) = 29, then _ x 0 f ( 1 - 3x x^2 ) equals to
- If _ x 2 (x-2) x^2 + (k-2)x - 2k x^2 - 4x + 4 = 5, then k is equal to:
- _ x 2 x-2 + x - 2 x^ 2 -4 is equal to
- _ x ( x+ x - x ) is equal to
- _ n a^ n +b^ n a^ n -b^ n , where a>b>1, is equal to
- _ x 0 3^ x -1 x+1 -1 is equal to
- _ n 4^ 1/n -1 3^ 1/n -1 is equal to
- _ x x+ x x^ 2 is equal to
- _ x 0 3^ x -2^ x 4^ x -3^ x is equal to
- _ h 0 1 h [3] 8+h - 1 2h is equal to
- _ n n^ p ^ 2 (n!) n+1 , 0<p<1, is equal to
- _ x 0 x y^ 2 -(y-x)^ 2 ( 8xy-4x^ 2 + 8xy )^ 3 is equal to
- _ x 0 (1+x+x^ 2 )-e^ x x^ 2 is equal to
- _ x 0 x 2x-2x x (1- 2x)^ 2 is equal to
- _ x 0 _e(1+x) x^ 2 + x-1 x is equal to
- _ n (0.2)^ _ 5 ( 14+ 18+ 1 16 + to n terms ) is equal to
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