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Evaluate the following limits : under...

Evaluate the following limits :
`underset(hrarr0)"lim"(cosah-cosbh)/(h^(2))`

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The correct Answer is:
`(b^(2)-a^(2))/(2)`
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CHHAYA PUBLICATION-LIMIT-EXERCISE 2 ( Short Answer Type Questions)
  1. Evaluate the following limits : underset(hrarr0)"lim"(1-cosh)/(h" s...

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  2. Evaluate the following limits : underset(xrarr0)"lim"(1-cos4x)/(x^(...

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  3. Evaluate the following limits : underset(hrarr0)"lim"(cosah-cosbh)/...

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  4. Evaluate the following limits : underset(xrarr0)"lim"(tan^(-1)x)/(x...

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  5. Evaluate the following limits: underset(x rarr0)lim[tan(pi/4+x)]^(1/x)

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  6. Evaluate the following limits : underset(xrarr0)"lim"(xtanx)/(1-cos...

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  7. Evaluate the following limits : underset(hrarr0)"lim"(sin(x+h)-sinx...

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  8. Evaluate the following limits : underset(hrarr0)"lim"(tan(x+h)-tanx...

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  9. Evaluate the following limits : underset(xrarr0)"lim"(sin(x^(2)+4x)...

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  10. underset(xrarr0)"lim"(sinx(1-cosx))/(x^(3))

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  11. Evaluate the following limits : underset(xrarr0)"lim"tan5x" cosec"4...

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  12. Evaluate the following limits : underset(xrarr0)"lim"(2sinx-sin2x)/...

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  13. Evaluate the following limits : underset(xrarra)"lim"(1-cos(x-a))/(...

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  14. Evaluate the following limits : underset(xrarr0)"lim"(cosx-secx)/(x...

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  15. Evaluate the following limits : underset(xrarr0)"lim"(1-cos4x)/(1-c...

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  16. Evaluate the following limits : underset(xrarrpi)"lim"(1+cosx)/(pi-...

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  17. Prove : underset(xrarr0)"lim"(sinalphax^(@))/(sinbetax^(@))=(alpha)...

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  18. Prove : underset(xrarr0)"lim"((1)/(sinx)-(1)/(tanx))=0

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  19. Prove : underset(xrarr0)"lim"(tanx-sinx)/(x^(3))=(1)/(2)

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  20. Prove : underset(xrarr0)"lim"(tan^(-1)x-x)/(sin^(-1)x)=1

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