The fraction -3x-a-x-a-x-a becomes 0-0 when x-a-

lim_x→ a√(3x a) √(x+a)x a Since it goes to 00 form we shall rationalize the numerator #160;We know that (a+b)(a b)=a^2 b^2 ; thus multiplying ...

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Multiplication of Rational Expressions

The fraction ...

Question

The fraction $\frac{\sqrt{3 x - a} - \sqrt{x + a}}{x - a}$ becomes $\frac{0}{0}$ when $x = a$ .

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f (x) = {\begin{matrix} \frac{{sin}^{2} a x}{x^{2}}, w h e n x \neq 0 a^{2}, w h e n x = 0. \end{matrix}

x = 0

x = a

m

q

v_{0}^j

\to E = E_{0}^i

t = 0

m v_{0}^{2} = 2 q E_{0} x_{0}

f (x) = ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩ \begin{matrix} \frac{b e^{x} - c o s x - x}{x} & , & x > 0 a & , & x = 0 \frac{2 t a n^{- 1} (e^{x}) - \frac{π}{4}}{x} & , & x < 0 \end{matrix}

(a, b)

a {(x - 1)}^{2} + b (x^{2} - 3 x + 2) + x - a^{2} = 0

l i m x \to a \frac{\sqrt{a + 2 x} - \sqrt{3 x}}{\sqrt{3 a + x} - 2 \sqrt{x}}, (a \neq 0)

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