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Evaluate the following limit: lim(x->0)(...

Evaluate the following limit: `lim_(x->0)(sin(2+"x")-"sin"(2-"x"))/"x"`

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`lim_(x->0)(sin(2+x)-sin(2-x))/x`
`=lim_(x->0)(2xx cos((2+x+2-x)/2)xx sin((2+x-2+x)/2))/x`
`=lim_(x->0)(2xx cos 2 xx sinx)/x`
`=2cos2 lim_(x to 0) (sin x)/x`
`=2cos2`
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RD SHARMA-LIMITS-All Questions
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  2. Evaluate the following limit: lim(x->0)(cos3x-cos5x)/(x^2)

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  3. Evaluate the following limit: lim(x->0)(sin(2+"x")-"sin"(2-"x"))/"x"

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  4. Evaluate the following limit: lim(x->0)(t a n x-sin x)/(sin3x-x sin x)

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  10. Evaluate the following limit: lim(x->0)(cos2x-1)/(cos x-1)

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  11. Evaluate the following limit: lim(x->0)(3sin^2 x-2sinx^2)/(3x^2)

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  12. Evaluate the following limit: lim(x->0)(1-cos4x)/(x^2)

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  13. lim(x->0)(1-cos2x)/(3tan^2x)

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  14. Evaluate the following limit: lim(x->0)(a x+x\ cos x)/(b sinx)

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  15. Evaluate the following limit: lim(x->0)(2sin x-sin2x)/(x^3)

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  16. Evaluate the following limit: lim(x->0)(cos e c x-cot x)/x

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  17. Evaluate the following limit: lim(x->0)(5x+4sin3x)/(4sin2x+7x)

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  18. Evaluate the following limit: lim(x->0)(cos e c x-cot x)

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  19. Evaluate the following limit: (lim)(x->0)(x\ cos x-sin x)/(x^2+t a n x...

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