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Evaluate: ("lim")(h->0)((a+h)^2sin(a+h)-...

Evaluate: `("lim")_(h->0)((a+h)^2sin(a+h)-a^2sina)/h`

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RD SHARMA ENGLISH-LIMITS-All Questions
  1. Evaluate the following limit: (lim)(x->0)(3sinx - sin3x)/(x^3)

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  2. Evaluate the following limit: (lim)(x->0)(s in a x+b x)/(a x+s in b x)

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

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  4. If (lim)(x->0)k x\ cos e c\ x=(lim)(x->0)x\ cos e c\ k x Find k

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  5. Evaluate: (lim)(x->pi/2)(cot x)/(pi/2-x)

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  6. Evaluate: (lim)(x->pi/2)(pi/2-x)t a n x

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  7. (lim)(x->pi/2)(tan2x)/(x-pi/2)

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  8. Evaluate the following limits: lim(x->pi/2)(pi/2-x)tanx

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  9. Evaluate the following limit: (lim)(x->pi/2)(cos^2x)/(1-sinx)

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  10. Evaluate the following limit: (lim)(x->a)(cos x-cos a)/(x-a)

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  11. Evaluate the following limit: (lim)(x->pi/2)(1-sin x)/((pi/2-x)^2)

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  12. Evaluate the following limit: (lim)(x->pi/8)(cot4x-cos4x)/((pi-8x)^3)

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  13. Evaluate the following limit: (lim)(x->pi)(sqrt(5+cos x)-2)/((pi-x)^2)

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  14. Evaluate the following limit: (lim)(x->a)( sin sqrt(x)- sin sqrt(a))/(...

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  15. Evaluate the following limit: (lim)(x->pi/4)(f(x)-f(pi/4))/(x-pi/4) , ...

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  16. Evaluate the following limit: (lim)(x->1)(1-x^2)/(s inpix)

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  17. Evaluate the following limit: (lim)(x->pi)(1+cos x)/(tan^2x)

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  18. Evaluate the following limit: (lim)(n->oo)2^(n-1)sin(a/(2^n))

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  19. Evaluate the following limit: (lim)(x->pi/2)(sin2x)/(cos x)

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  20. Evaluate lim(x->pi)(sqrt(1-cos6x))/(sqrt2(pi/3-x))

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