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If f(x)={(sinx, x != npi " and " n in I2...

If `f(x)={(sinx, x != npi " and " n in I_2), (2, " x=npi):}` and `g(x)={(x^2+1, x != 0),(4,x=0), (5, x=2):}` then `lim_(x->0) g{f(x)}` is

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CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
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  2. Let f(x)={lim(n->oo)(a x(x-1)(cot((pix)/4))^n+(p x^2+2))/((cot((pix)/...

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  3. If f(x)={(sinx, x != npi " and " n in I2), (2, " x=npi):} and g(x)={(x...

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  4. The number of points at which g(x)=1/(1+2/(f(x))) is not differentiabl...

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  11. For which of the following functions f(0) exists such that f(x) is con...

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  12. Let f(x)=x^(3)-x^(2)-3x-1, g(x)=(x+1)a and h(x)=(f(x))/(g(x)) where h...

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  13. Let f(x) = (1 - x)^2 sin^2 x + x^2 for all x ∈ R, and let g(x) = ∫((2...

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  14. If f(x)={sin(pi/2)(x-[x]),x<5 5(b-1),x=5(a b^2|x^2-11 x+24|)/(x-3),x >...

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  15. The function f(x) is discontinuous only at x=0 such that f^2(x)=1AAx i...

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  16. f(x)={(x^2+e^(1/(2-x)))^(-1)k ,x=2, x!=2 is continuous from right at t...

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  17. If the function f(x)=((128 a+a x)^(1//8)-2)/((32+b x)^(1//5)-2) is con...

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  18. If f(x)={(1-cos(1-cos x/2))/(2^m x^n)1x=0,x!=0 is continous at x=0 the...

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  19. f is a continous function in [a, b]; g is a continuous function in [b,...

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  20. If the function f(x) defined as f(x) defined as f(x)={3,x=0(1+(a x+b x...

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