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According to Einstein’s theory of relati...

According to Einstein’s theory of relativity, the mass m of a body moving with velocity v is `m = (m_(0))/(sqrt(1-(v^(2))/(c^(2))))`, where `m_(0)` is the initial mass and c is the speed of light. What happens to m as `v rarr c^(-)`. Why is a left hand limit necessary?

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The correct Answer is:
`1 - (v^(2))/(c^(2)) lt 0`
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NCERT TAMIL-DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY-EXERCISE 9.6 (Choose the correct or the most suitable answer from the given four alternatives)
  1. According to Einstein’s theory of relativity, the mass m of a body mov...

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  2. lim(x rarr oo)(sin x)/(x)

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  3. lim(x rarr pi//2)(2x - pi)/(cos x)

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  4. lim(x rarr 0) (sqrt(1 -cos 2x))/(x)

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  5. lim(theta rarr 0)(sin sqrt(theta))/(sqrt(sin theta))

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  6. lim(x rarr oo)((x^(2) + 5x + 3)/(x^(2) + x + 3))^(x) is

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  7. lim(x rarr oo)(sqrt(x^(2) - 1))/(2x+1) =

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  8. lim(x rarr oo)(a^(x) - b^(x))/(x) =

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  9. lim(x rarr 0)(8^(x) - 4x - 2^(x) + 1^(x))/(x^(2)) =

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  10. If f(x) = x(-1)^(lfloor(1)/(x)rfloor), x le 0, then the value of lim(x...

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  11. lim(x rarr 3) lfloor x rfloor =

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  12. Let the function f be defined by f(x) = {{:(3x,0 le x le 1),(-3x + 5,1...

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  13. If f : RR rarr RR is defined by f(x) = lfloorx - 3rfloor + |x-4| for x...

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  14. lim(x rarr 0)(x e^(x) - sin x)/(x) is

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  15. If lim(x rarr 0)(sin p x)/(tan x) , then the value of p is

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  16. lim(alpha rarr pi//4)(sin alpha - cos alpha)/(alpha - (pi)/(4)) is

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  17. lim(n rarr oo)((1)/(n^(2)) + (2)/(n^(2)) + (3)/(n^(2)) + …. + (n)/(n^(...

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  18. lim(x rarr 0)(e^(sin x)-1)/(x) =

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  19. lim(x rarr 0)(e^(tan x - e^(x)))/(tan x - x) =

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  20. The value of lim(x rarr 0)(sin x)/(sqrt(x^(2)) is

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  21. The value of lim , where lim(x rarr k^(-)) x - lfloor x rfloor, where ...

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