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If lim(x->0)[1+x+(f(x))/x]^(1/x)=e^3, th...

If `lim_(x->0)[1+x+(f(x))/x]^(1/x)=e^3,` then find the value of `1n(lim_(x->0)[1+(f(x))/x]^(1/x))i s____`

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. If underset(xrarroo)(lim)((x+c)/(x-c))^(x)=4 then the value of e^(c) i...

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  2. If f(x)=underset(nrarroo)(lim)((x^(2)+ax+1)+x^(2n)(2x^(2)+x+b))/(1+x^(...

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  3. If lim(x->0)[1+x+(f(x))/x]^(1/x)=e^3, then find the value of 1n(lim(x-...

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  4. Let f(x) be the fourth degree polynomial such that f^(prime)(0)-6,f(0)...

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  5. Let f(x) be the fourth degree polynomial such that f^(prime)(0)-6,f(0)...

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  6. (lim)(x->0)((sqrt(1+xsin x)-sqrt(cos2x))/(tan^2(x//2))) is equal to 1/...

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  7. The value of underset(xrarroo)(lim)x^(2)(1-cos.(1)/(x)) is

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  8. lim(x->0) (Cosx -1)/x is equal to

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  9. lim x→(2^+) { x } sin( x−2 ) /( x−2)^2 ...

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  10. The value of lim(x->0)(sqrt(1-cos"x"^2))/(1-cosx) is a.1/2 b. 2 c. s...

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  11. If f(x)=underset(nrarroo)(lim)((x^(2)+ax+1)+x^(2n)(2x^(2)+x+b))/(1+x^(...

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  12. lim(x->0)(e^(5x) - 1)/(3x)

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  13. lim(x->(pi/2)) (1-sinx)tanx =

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  14. The value of lim(x->3)((x^3+27)(log)e(x-2))/(x^2-9) is a. 9 b. 18 c....

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  15. If (lim)(xvec0)(e^(a x)-e^x-x)/(x^2)=b (finite), then a=2,b=0 b. a=0,b...

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  16. If underset(xrarr0)(lim)(x^3)/(sqrt(a+x)(bx-sinx))=1,agt0, then a+b is...

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  17. underset(xrarr0)(lim)[(sin^(-1)x)/(tan^(-1)x)]= (where [.] denotes the...

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  18. The value of lim(x->pi/4) (sqrt(1-sqrt(sin2x)))/(pi-4x) is

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  19. lim(x->0) (sin x /x)

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  20. If f(x)=x((e^(|x|+[x])-2)/(|x|+[x])) then (where [.] represents the gr...

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