The value of limx→∞a2x2+ax+1-a2x2+1, (a 0) is(a) 12(b) -12(c) doesn't exist(d) none of these - Maths - Limits and Derivatives

Question

T h e   v a l u e   o f   lim x → ∞ a 2
x 2 + a x + 1 - a 2 x 2 + 1 ,   ( a > 0 )   i s ( a )
  1 2 ( b )   - 1 2 ( c )   d o e s n ' t   e x
i s t ( d )   n o n e   o f   t h e s e

Hari Shankar · Accepted Answer

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style="width: 823px; height: 1023px;">Regard

T h e v a l u e o f lim x → ∞ a 2 x 2 + a x + 1 - a 2 x 2 + 1 , ( a > 0 ) i s ( a ) 1 2 ( b ) - 1 2 ( c ) d o e s n ' t e x i s t ( d ) n o n e o f t h e s e

$T h e v a l u e o f \lim_{x \to \infty} (\sqrt{a^{2} x^{2} + a x + 1} - \sqrt{a^{2} x^{2} + 1}), (a > 0) i s (a) \frac{1}{2} (b) - \frac{1}{2} (c) d o e s n' t e x i s t (d) n o n e o f t h e s e$