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Evaluate the following limits in lim(x...

Evaluate the following limits in `lim_(x to -2)(1/x+1/2)/(x+2)`.

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MODERN PUBLICATION-LIMITS AND DERIVATIVES-NCERT FILE - EXERCISE 13.1
  1. underset(z rarr1)"lim"(2^(1//3)-1)/(z^(1//6)-1)

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  2. (lim)(x->1)(a x^2+b x+c)/(c x^2+b x+a),""a+b+c!=0

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  3. Evaluate the following limits in lim(x to -2)(1/x+1/2)/(x+2).

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  4. underset(xrarr0)"lim"(sinax)/(bx)

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  5. Evaluate the following limits lim(x to 0)(sinax)/(sinbx), a,b ne 0.

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  6. (lim)(x->pi)(sin(pi-x))/(pi(pi-x))

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  7. underset(xrarr0)"lim"(cos x)/(pi-x)

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  8. underset(xrarr0)"lim"(cos 2x-1)/(cos x-1)

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  9. Evaluate the following limits in Exercise 1 to 22. lim(a to 0)(ax+xc...

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  10. Evaluate the following limits in Exercise 1 to 22. lim(x to 0)xsecx.

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  11. underset(xrarr0)"lim"(sinax+bx)/(ax+si nbx),a,b,a+bne0

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  12. underset(xrarr0)"lim"(cosecx-cotx)

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  13. underset(xrarr(pi)/(2))"lim"(tan2x)/(x-(pi)/(2))

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  14. Find lim(x to 0)f(x) and lim(x to 1)f(x), where f(x)={{:(2x+3",", x ...

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

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  16. Evaluate ("lim")(x->0)f(x),\ w h e r e\ f(x)={(|x|)/x ,\ x!=0 0,\ x=0

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  17. Find lim(x to 0) f(x), where f(x)={{:( x/abs "x " " ,", x ne 0), ...

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  18. Find (lim)(x->5)f(x), where f(x)=|x|-5

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  19. Suppose f(x)={(a+bx, x<1), (4, x=1), (b-ax, x>1):} and if lim(xto1) f(...

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

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