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If (lim)(x->oo)(7^(k x)+8)/(7^(5x)+6)...

If `(lim)_(x->oo)(7^(k x)+8)/(7^(5x)+6)` does not exist then`' k '` can be

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Which of the following statement(s) is (are) INCORRECT ?. (A) If lim_(x->c) f(x) and lim_(x->c) g(x) both does not exist then lim_(x->c) f(g(x)) also does not exist.(B) If lim_(x->c) f(x) and lim_(x->c) g(x) both does not exist then lim_(x->c) f'(g(x)) also does not exist.(C) If lim_(x->c) f(x) exists and lim_(x->c) g(x) does not exist then lim_(x->c) g(f(x)) does not exist. (D) If lim_(x->c) f(x) and lim_(x->c) g(x) both exist then lim_(x->c) f(g(x)) and lim_(x->c) g(f(x)) also exist.

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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. f:R to R is defined as f(x)= {{:(x^(2)+kx+3",",,"for "xge0),(2kx+3",",...

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  2. If (lim)(x->2)(f(x-9))/(x-2)=3 then (lim)(x->2)f(x), is

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  3. If (lim)(x->oo)(7^(k x)+8)/(7^(5x)+6) does not exist then' k ' c...

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  4. L i m i t\ l=(lim)(x->oo)(pi/2-t a n^-1\ x)/(ln(1-1/x)) equals

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  5. lim(x->oo)((2x+1)^(40)(4x-1)^5)/((2x+3)^(45))=

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  6. Evaluate the following limit : (lim)(x->oo)(logx)/(x^n),\ n >0

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  7. Evaluate the following limit : (lim)(x->-oo)(sqrt(4x^2+5x+8))/(4x+5...

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  8. Evaluate the following limit : (lim)(n->oo)(n/(n+y))^n

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  9. Evaluate the following limit : (lim)(x->0)((4^x-1)^3)/(sin((x^2)/4)l...

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  10. Evaluate underset(xto0)lim(sinx^(0))/(x).

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  11. Evaluate ("lim")(nvecoo){cos(x/2)cos(x/4)cos(x/8) cos(x/(2^n))}

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  12. Evaluate: ("lim")(hvec0)(2[sqrt(3)sin(pi/6+h)-cos(pi/6+h)])/(sqrt(3)h(...

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  13. Evaluate the following limit : (lim)(x->oo)((1-cos2x)sin5x)/(x^2sin3...

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  14. Evaluate the following limit : (lim)(alpha->beta)[(sin^2alpha-sin^2b...

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  15. Evaluate the following limit : (lim)(x->0)((a^x+b^x+c^x)/3),\ (a , ...

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  16. Evaluate the following limit (lim)(x->oo)((3x-4)/(3x+2))^((x+1)/3)

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  17. Evaluate the following limit (lim)(x->oo)((x+3)/(x+1))^(x+1)

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  18. Evaluate the following limit (lim)(x->oo)(1+a x)^(1/x)

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  19. Evaluate the following limit (lim)(x->oo)(1-4/(x-1))^(3x-1)

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  20. Evaluate the following limit (lim)(x->pi/2)(sin x)^(tanx)

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