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If f : R rarr R is defined by f(x) = {((...

If `f : R rarr R` is defined by `f(x) = {((x+2)/(x^(2)+3x+2), x in R-{-1,-2}),(-1, x=-2),(0, x = -1):}` then f is continuous on the set

A

A. 0

B

B. (-1)

C

C. 1

D

D. (-1/2)

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B
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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  2. lim(n rarr oo) 1/n^(3) sum(k=1)^(n) k^(2)x =

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  3. If f : R rarr R is defined by f(x) = {((x+2)/(x^(2)+3x+2), x in R-{-1,...

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  4. If lim(x rarr 0) ((cos 4x + a cos 2x+b)/(x^(4))) is finite, then the v...

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  5. lim(x rarr oo) {sqrt(x^(2) + 5x -7-x)} =

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

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  7. Let f(2)=4 and f'(2)=4. Then lim(xto2)(xf(2)-2f(x))/(x-2) is given b...

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  8. The value of the constant alpha and beta such that lim(x rarr oo) ((x^...

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  9. lim(theta rarr 0) (4 theta(tan theta-sin theta))/(1-cos 2 theta)^2 is

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  11. lim(x rarr 0) (cos (sinx )-1)/x^(2) =

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  14. The value of lim(x rarr 0) (sqrt((1)/(2) (1-cos 2x)))/(x) is :

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  15. The value of lim(x rarr 0) (int(0)^(x^(2))cos t^(2)dt)/(x sin x) is :

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  19. Let f(a) = g(a) = k and their n^(th) order derivatives exist and are n...

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