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Evaluate Lt(x to oo)(sqrt(x^(2) + x) - x...

Evaluate `Lt_(x to oo)(sqrt(x^(2) + x) - x)`

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VGS PUBLICATION-BRILLIANT-MOST IMPORTANT QUESTIONS-LIMITS AND CONTINUITY (VERY SHORT ANSWER TYPE QUESTIONS)
  1. Compute Lt(x to 0)(e^(3x)-1)/(x).

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  2. Compute the following limits Lt(x to 0) (sin ax)/(x cos x)

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  3. Compute {:(" Lt"),(xrarr0):}((sinax)/(sinbx))bne0,aneb

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  4. Compute the following limits Lt(x to 0) (1 - cos mx)/(1 - cos nx) ...

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  5. Compute lim(x to a ) (tan(x-a))/(x^2-a^2)(a ne 0).

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  6. Show that Lt(xtoa)(sin(x-a)tan^(2)(x-a))/((x^(2)-a^(2))^(3))=1/(8a^(...

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  7. "lt"(x to 0)(x sin a - a sinx)/(x-a)

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  8. Evaluate Lt(x to 0)(e^x-sinx-1)/(x)

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  9. Evaluate Lt(x to 3) (e^x - e^3)/(x - 3)

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  10. Compute the following limits Lt(x to 0) [(cos ax - cos bx)/x^(2)]

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  11. Compute the following limits Lt(x to 0) (sin(a + bx) - sin(a - bx))...

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  12. underset(x to oo)lim (3x^(2)+5x+2)/(2x^(2)-3x+1)=

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  13. Evaluate Lt(x to oo)(11 x^3 - 3x + 4)/(13x^3 - 5x^2 - 7)

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  14. Evaluate the following limits. Lt(xtooo)(sqrt(x+1)-sqrtx)

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  15. Evaluate Lt(x to oo)(sqrt(x^(2) + x) - x)

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  16. Evaluate Lt(x to 0) (root(3)(1+x)-root(3)(1-x))/(x)

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  17. Evaluate Lt(x to 0)((1+x)^(1//8) - (1 - x)^(1//8))/(x)

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  18. "lt"(x to 0)(2|x|)/x + x +1

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  19. Compute the following limits. Lt(x to infty) (sqrt(x^(2) + 6))/(2x...

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  20. Find Lt(x to -oo)(5x^3 + 4)/(sqrt(2x^4 + 1))

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