0
1
7
13
Correct answer is D
\lim\limits_{x \to 3} \frac{2x^{2} + x - 21}{x - 3}
2x^{2} + x - 21 = 2x^{2} - 6x + 7x - 21 (by factorizing)
= (2x + 7)(x - 3)
\therefore \lim\limits_{x \to 3} \frac{2x^{2} + x - 21}{x - 3} \equiv \lim\limits_{x \to 3} \frac{(2x+7)(x-3)}{x-3}
\lim\limits_{x \to 3} (2x + 7) = 2(3) + 7 = 13
Consider the statements: p : Musa is short q : Musa is brilliant Which of the following rep...
Given that M = \begin{pmatrix} 3 & 2 \\ -1 & 4 \end{pmatrix} and N = ...
Find the value of \cos(60° + 45°) leaving your answer in surd form...
A binary operation ∆ is defined on the set of real numbers R, by x∆y = \(\sqrt{x+y - \frac{xy}{4...
Given that f(x) = \frac{x+1}{2}, find f^{1}(-2)....
A function is defined by h : x \to 2 - \frac{1}{2x - 3}, x \neq \frac{3}{2}. Find h^-1, the ...
A linear transformation T is defined by T: (x,y) → (3x - y, x + 4y). Find the image of (2, -1) ...
The remainder when x^{3} - 2x + m is divided by x - 1 is equal to the remainder when \...
If events A and B are independent and P(A) = \frac{7}{12} and P(A \cap B) = \frac{1}{4}, fin...