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Evaluate the following limits in lim(x...

Evaluate the following limits in
`lim_(xrarr0)(sinax)/(sinbx),a,b ne0`

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The correct Answer is:
`(a)/(b)`
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NCERT TAMIL-LIMITS AND DERIVATIVES-EXERCISE 13.1
  1. Evaluate the following limits in lim(xrarr-2)((1)/(x)+(1)/(2))/(x+2)

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  2. Evaluate the following limits in lim(xrarr0)(sinax)/(bx)

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  3. Evaluate the following limits in lim(xrarr0)(sinax)/(sinbx),a,b ne0

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  4. Evaluate the following limits in lim(xrarrpi)(sin(pi-x))/(pi(pi-x))

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  5. Evaluate the following limits in lim(xrarr0)(cosx)/(pi-x)

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  6. Evaluate the following limits in lim(xrarr0)(cos2x-1)/(cosx-1)

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  7. Evaluate the following limits in lim(xrarr0)(ax+x cosx)/(b sinx)

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  8. Evaluate the following limits in lim(xrarr0)x secx

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  9. Evaluate lim(xto0)(sinax+bx)/(ax+sinbx)a,b,a+bne0.

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  10. Evaluate the following limits in lim(xrarr0)("cosec "x-cotx)

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  11. Evaluate lim(xto(pi)/(2))(tan2x)/(x-(pi)/(2))

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  12. Find lim(xto0)f(x) and lim(xto1)f(x), where f(x)={{:(2x+3","xle0),(3(x...

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  13. Find lim(xto1)f(x), where f(x)={{:(x^(2)-1","xle1),(-x^(2)-1","xgt1):}

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  14. Evaluate lim(xto0)f(x), where f(x)={{:((|x|)/(x)","xne0),(0","x=0):}

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  15. Find lim(xto0)f(x), where f(x)={{:((x)/(|x|)","xne0),(0","x=0):}

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  16. Find lim(xto5)f(x), where f(x)=|x|-5

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  17. Suppose f(x)={:{(a+bx,x lt 1) ,(4,x=1), (b-ax,x gt 1):} and if lim(x t...

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  18. Let a(1), a(2),…,a(n) be fixed real numbers and define a function f(x)...

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  19. If f(x)={{:(|x|+1","xlt0),(0","x=0),(|x|-1","xgt0):} For what value (s...

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  20. If the function f(x) satisfies lim(xrarr1)(f(x)-2)/(x^(2)-1)=pi, evalu...

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