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If lim(x->-a) (x^7+a^7)/(x+a)=7, where ...

If `lim_(x->-a) (x^7+a^7)/(x+a)=7`, where `a lt 0` then ,there exists at least one a for which point `(a, 2)` where lies on the line

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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. If lim(x->oo)((1+a^3)+8e^(1/ x))/(1+(1-b^3)e^(1/ x))=2, then there exi...

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  2. If (lim)(x->oo)(sqrt((x^4-x^2+1))-a x^2-b)=0 , then there exists at ...

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  3. If lim(x->-a) (x^7+a^7)/(x+a)=7, where a lt 0 then ,there exists at ...

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  4. (lim)(x->\ oo)(x/(1+x))^x equals

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  5. (lim)(x->\ oo)(sin1/x+cos1/x)^x equals

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  6. (lim)(x->\ 0)(cosx)^(cot2x) equals

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  7. Evaluate the following limit: (lim)(x->pi/4)(1-t a n x)/(x-pi/4)

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  8. f:R to R is defined as f(x)= {{:(x^(2)+kx+3",",,"for "xge0),(2kx+3",",...

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

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

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

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

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

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

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

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

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

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

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

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