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Let f(x)={{:(a+bx","xlt1),(4","x=1),(b-a...

Let `f(x)={{:(a+bx","xlt1),(4","x=1),(b-ax","xgt1):}` and if `lim_(xto1)f(x)=f(1)` what are the possible values of a and b

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The correct Answer is:
a=0 and b=4
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NEW JOYTHI PUBLICATION-LIMITS AND DERIVATIVES-QUESTIONS FROM COMPETITIVE EXAMS
  1. Let f(x)={{:(a+bx","xlt1),(4","x=1),(b-ax","xgt1):} and if lim(xto1)f(...

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  2. lim(xto1)(x^(2)-2x+1)/(|x^(2)-1|)=

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  3. Solve the limit ; lim(xto0)((a^(x)-b^(x)))/(x)=

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  4. Solve the limit ; lim(xto pi//2)(a^(cotx)-a^(cosx))/(cotx-cosx) is equ...

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  5. Solve the limit ; lim(xto0)(1-cosmx)/(1-cosnx)

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  6. ' lim (x to 0) (a^(x)-b^(x))/(e^(x)-1) is equal to

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  7. lim(xto(pi)/(6))(2sin^(2)x+sinx-1)/(2sin^(2)x-3sinx+1)=

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  8. lim(xto0)(tanx-sinx)/x^(3)

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  9. lim(nto oo)((1^(2))/(1-n^(3))+(2^(2))/(1-n^(3))+ . . . .+(n^(2))/(1-n^...

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  10. Solve the limit ; lim(xto0)((x)/(sqrt(1+x)-sqrt(1-x)))

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  11. lim(x to oo )((x^(3))/(3x^(2)-4)-(x^(2))/(3x+2)) is equal to

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  12. lim(xto0)((1+2x)^(10)-1)/(x) is equal to

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  13. lim(xto2)(x^(100)-2^(100))/(x^(77)-2^(77)) is equal to

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  14. lim(kto oo)((1^(3)+2^(3)+3^(3)+ . .. +k^(3))/(k^(4))) is equal to

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  15. The value of lim(xto 0)(log(1+2x))/(x) is equal to

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  16. lim(xto0^(-))(1)/(3-2^((1)/(x))) is equal to

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  17. lim(xto3)(sqrt(x)-sqrt(3))/(sqrt(x^(2)-9)) is equal to

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  18. lim(xto0)(e^(x^(2))-cosx)/(x^(2))=

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  19. The value of lim(xto3)(x^(5)-3^(5))/(x^(8)-3^(8)) is equal to

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  20. Let f(x)=(x^(5)-1)(x^(3)+1),g(x)=(x^(2)-1)(x^(2)-x+1) and let h(x) be ...

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  21. lim(xto0)(log(1+3x^(2)))/(x(e^(5x)-1))=

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