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

Evaluate the following limit: `lim_(x->0)(xtanx)/(1-cos2x)`

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`lim_(x->0)(xtanx)/(1-cos2x)`
`lim_(x->0)(xtanx)/(2sin^2x)`
`lim_(x->0)((tanx)/x)/((2sin^2x)/x^2)`
`(lim_(x->0)(tanx)/x)/(lim_(x->0) 2((sin x)/x)^2)`
`=1/(2xx1)`
`=1/2`
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RD SHARMA-LIMITS-All Questions
  1. Evaluate the following limit: lim(x->0)(x^2+1-cos x)/(xsinx)

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Evaluate the following limit: (lim)(theta->0)(1-cos4theta)/(1-cos6thet...

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  15. Evaluate the following limit: (lim)(theta->0)(sin4theta)/(ta n 3theta)

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  16. Evaluate the following limit: (lim)(x->0)(1-cos5x)/(1-cos6x)

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

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  18. Evaluate the following limit: (lim)(x->0)(3sin x-sin3x)/(x^3)

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  19. Evaluate the following limit: (lim)(x->0)(sin ax+bx)/(a x+sin bx)

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  20. Evaluate: lim(h->0)((a+h)^2sin(a+h)-a^2sina)/h

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