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Evaluate the following limits by the Met...

Evaluate the following limits by the Method of Factors :
`lim_(x to 1)(x^(2)-1)/(x-1).`

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MODERN PUBLICATION-LIMITS AND DERIVATIVES-FREQUENTLY ASKED QUESTIONS
  1. (lim)(x->1)(a x^2+b x+c)/(c x^2+b x+a),""a+b+c!=0

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  2. Evaluate the following limits by the Method of Factors : lim(x to 1)...

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  3. Evaluate : lim(x to 2)(x^(10)-1024)/(x^(4)-16), by using Formula.

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  4. Find all possible values of a if lim(x to a)(x^(9)-a^(9))/(x-a)=9.

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  5. Evaluate lim(hto0)(sqrt(x+h)-sqrt(x))/(h)

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  6. Evaluate lim(x->0)((1+x)^4-1)/x

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  7. lim(x->1)((x+x^2+x^3+dotdotdot+x^n)-n)/(x-1)

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

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  9. Evaluate : lim(x to 0)f(x)={{:(abs(x)/x",",x ne 0), (" 0,", x=0.):}

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  10. Let a(1),a(2),...,a(n) be fixed real numbers and let f(x)=(x-a(1))(...

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  11. lim(x->0)(sinx-2sin3x+sin5x)/x

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  12. lim(xto0)("cosec"x-cotx)/(x) is equal to

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  13. Evaluate the following limits: lim(xto0)((1-cos3x))/(x^(2))

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  14. Evaluate the following limits: lim(xto0)((1-cosx))/(sin^(2)x)

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  15. Evaluate, underset(xto(pi//4))"lim"(sinx-cosx)/(x-pi/4)

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  16. lim(x->pi//6)(sqrt(3)sinx-cosx)/(x-pi/6)

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  17. lim[x->pi/4][sec^2x-2]/[tanx-1]

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  18. Evaluate : lim(x to 0) (sqrt(5)-sqrt(4+cosx))/(3sin^(2)x).

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  19. Evaluate : lim(x to 0)(1-cosxcos2xcos3x)/(sin^(2)2x)

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  20. Evaluate: lim(xto0)8/(x^8){1-cos(x^2)/2-cos(x^2)/4+cos(x^2)/2cos(x^2)/...

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