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Evaluate the limits using the expansion ...

Evaluate the limits using the expansion formula of functions `lim_(x->0)(e^x-1-x)/(x^2)`

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate underset(xto0)lim(sinx+log(1-x))/(x^(2)).

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  2. If underset(xto0)lim[1+x+(f(x))/(x)]^(1//x)=e^(3), then the value of l...

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  3. Evaluate the limits using the expansion formula of functions lim(x->0)...

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  4. The value of ("lim")(n->oo)[(n+1)^2 3-(n-1)^2 3] is

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  5. Evaluate : lim(x->2)(x^2-5x+6)/(x^2-4)

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  6. If: ("lim")(xrarr1)(1+a x+b x^2)^(c/((x-1)))=e^3, then Find the condit...

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  7. Evaluate : lim(x->1)(2/(1-x^2)+1/(x-1))

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  8. lim(x->0)((1+5x^2)/(1+3x^2))^(1//x^2)=

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  9. Evaluate : lim(x->1)(x^2+x(log)e x-(log)e x-1)/((x^2-1)

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  10. If L= lim(ntooo) (2xx3^(2)xx2^(3)xx3^(4)...xx2^(n-1)xx3^(n))^((1)/((n^...

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  11. Evaluate lim(x->pi/4)(1-sin2x)/(1+cos4x)

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  12. The value of underset(xtooo)lim(log(e)(log(e)x))/(e^(sqrt(x))) is .

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  13. Evaluate : lim(x->pi/4)(1-cot^3x)/(2-cotx-cot^3x)

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  14. lim(y->0)((x+y)sec(x+y)-xsecx)/y is equal to (a) secx(xtanx+1) (b) x...

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  15. Evaluate lim(x->0)(sqrt(2+x)-sqrt(2))/x

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  16. The value of lim(m->oo)(cos(x/m))^("m") is 1 (b) e (c) e^(-1) (...

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  17. Find the value of underset(xto0)lim(sinx+log(e)(sqrt(1+sin^(2)x)-sinx)...

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  18. The value of lim(hto0) (ln(1+2h)-2ln (1+h))/(h^2), is

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  19. Evaluate : lim(x->oo)(a x^2+b x+c)/(dx^2+e x+f)dot

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  20. The value of lim(x->1)(2-x)^(tan((pix)/2)) is (a)e^(-2/pi) (b) e^...

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