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lim(x->0)(sin(2+x) - sin(2-x))/x...

`lim_(x->0)(sin(2+x) - sin(2-x))/x`

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The correct Answer is:
`2cos2`
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MODERN PUBLICATION-LIMITS AND DERIVATIVES-EXERCISE 13 (b)
  1. Evaluate the following : lim(x to 0)(xtan4x)/(1-cos4x)

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  2. Evaluate the following : lim(x to pi)(1+cosx)/(tan^(2)x)

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  3. lim(x->0)(sin(2+x) - sin(2-x))/x

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  4. underset(xto0)lim(cosax-cosbx)/(x^(2)) is equal to

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  5. lim(h rarr 0)(sin^2(x+h)-sin^2x)/h

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  6. lim(x->0)((a+x)^2sin(a+x)-a^2sina)/x

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  7. Evaluate the following limits: lim(xto(pi)/(4))((cosec^(2)x-2))/((co...

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  8. Evaluate the following (10-17) limits : lim(x to 0)(sin3x-sinx)/(sin...

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  9. Evaluate the following limits : lim(theta to 0)(sin5theta-sin3theta)...

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  10. Evaluate the following limits: lim(xto0)((tanx-sinx))/(sin^(3)x)

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  11. Evaluate underset(xto0)lim(tanx-sinx)/(x^(3)).

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  12. Evaluate the following limits : lim(x to pi/2)(cotx-cosx)/(cos^(3)x...

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  13. Evaluate lim(x-> 0) (tan3x-2x)/(3x- sin^2 x)

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  14. Evaluate the following (10-17) limits : lim(x to 0)(sin2x+3x)/(4x-si...

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  15. lim(x->0)(sin2x+3x)/(2x+tan3x)

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  16. lim(x-gt0)(tan2x-sin2x)/(x^3)

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  17. Evaluate the following limits : lim(x to 0)(sin4x-tan4x)/x^(3)

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  18. Evaluate the following (10-17) limits : lim(x to pi//2)(cos^(2)x)/(1...

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  19. Evaluate the following (10-17) limits : lim(y to 0)((x+y)sec(x+y)-xs...

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  20. Evaluate the following limits: lim(xto(pi)/(4))((cosec^(2)x-2))/((co...

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