Calculus - Study Mode
[#136] The expression [mathop {lim }limits_{alpha o 0} frac{{{{ ext{x}}^alpha } - 1}}{alpha }] xa0 is equal to
Correct Answer
(A) log x
[#137] It is known that two roots of the non-linear equation x 3 - 6x 2 + 11x - 6 = 0 and 1 and 3. The third root will be
Correct Answer
(C) 2
[#138] Consider the function y = x 2 - 6x + 9. The maximum value of y obtained when x varies over the interval 2 to 5 is
Correct Answer
(C) 4
[#139] What is the value of [mathop {mathop {lim }limits_{{ ext{x}} o 0} }limits_{{ ext{y}} o 0} frac{{{ ext{xy}}}}{{{{ ext{x}}^2} + {{ ext{y}}^2}}}?]
Correct Answer
(D) Limit does not exit
[#140] The Taylor series expansion of 3 sinx + 2 cosx is . . . . . . . .
Correct Answer
(A) 2 + 3x - x 2 - [frac{{{{ ext{x}}^3}}}{2}] + ...