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Suppose f(x)={(a+bx, x<1), (4, x=1), (b-...

Suppose `f(x)={(a+bx, x<1), (4, x=1), (b-ax, x>1):}` and if `lim_(xto1) f(x)=f(1)`, what are the values of `a and b?`

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MAHAVEER PUBLICATION-LIMITS-QUESTION BANK
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  2. Evaluate underset(xrarr0)"lim" f(x), where

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  3. Suppose f(x)={(a+bx, x<1), (4, x=1), (b-ax, x>1):} and if lim(xto1) f(...

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  4. If the function f(x) satisfies (lim)(x->1)(f(x)-2)/(x^2-1)=pi,evaluate...

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  6. Evaluate the following limits : lim(x rarr 1) (3x + 1) (x+ 1)

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  7. Evaluate the following limits : lim(x rarr -1) (x+1)/(x+2)

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  8. Evaluate the following limits : lim(x rarr 0) (px + q)/(ax + b)

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  9. underset(xrarr-2)"lim"((1)/(x)+(1)/(2))/(x+2)

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  10. Evaluate the following limits: lim(xto-2)((x^(2)-25)/(x-5))

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  11. Evaluate the following limits : lim(x rarr 1/3) (9x^2-1)/(3x-1)

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  12. Evaluate the following limits : lim(x rarr 2) (x^2-x-2)/ (x^2-3x+2)

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  13. Evaluate the following limits : lim(x rarr 1) [1/(x-1)-2/(x^2-1)]

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  14. Evaluate the following limits : lim(x rarr 2) (sqrt(3x-2) -x)/(2-sqr...

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  15. Evaluate the following limits : lim(x rarr 0) x/(5-|x|)

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  16. Evaluate the following limits : lim(x rarr -2) (x^11-1)/(x^7 -1)

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  17. (lim)(x->0)(cosx)/(pi-x)

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  18. (lim)(x->0)(cos2x-1)/(cosx-1)

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  19. lim(x->0)(sina x+b x)/(a x+sinb x)

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  20. underset(xrarr0)"lim"(cos ec x -cot x)

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