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Evaluate the following limits in lim(x...

Evaluate the following limits in
`lim_(xrarr3)(x^(4)-81)/(2x^(2)-5x-3)`

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The correct Answer is:
`(108)/(7)`
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NCERT BANGLISH-LIMITS AND DERIVATIVES-EXERCISE 13.1
  1. Evaluate the following limits in lim(xrarr0)((x+1)^(5)-1)/(x)

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  2. Evaluate the following limits in lim(xrarr2)(3x^(2)-x-10)/(x^(2)-4)

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  3. Evaluate the following limits in lim(xrarr3)(x^(4)-81)/(2x^(2)-5x-3)

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  4. Evaluate the following limits in lim(xrarr0)(ax+b)/(cx+1)

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  5. Evaluate the following limits in lim(zrarr1)(z^((1)/(3))-1)/(z^((1)/...

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  6. Evaluate the following limits in lim(xrarr1)(ax^(2)+bx+c)/(cx^(2)+bx...

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  7. Evaluate the following limits in lim(xrarr2)((1)/(x)+(1)/(2))/(x+2)

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

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

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

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

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

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

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

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  15. Evaluate the following limits in lim(xrarr0)(sinax+bx)/(ax+sinbx)a,b...

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

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  17. Evaluate the following limits in lim(xrarr(pi)/(2))(tan2x)/(x-(pi)/(...

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  18. Find lim(xrarr0)f(x) and lim(xrarr1)f(x), where f(x)={{:(2x+3",",xle0)...

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  19. Find lim(xrarr1)f(x), where f(x)={{:(x^(2)-1",",xle1),(-x^(2)-1",",xgt...

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  20. Evaluate lim(xrarr0)f(x)," where "f(x)={{:((|x|)/(x)",",x ne0),(0",",x...

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