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let f(x)=(lncosx)/{(1+x^2)^(1/4)-1} if x...

let `f(x)=(lncosx)/{(1+x^2)^(1/4)-1}` if `x > 0` and `f(x)=(e^(sin4x)-1)/(ln(1+tan2x))` if `x < 0` Is it possible to difine `f(0)` to make the function continuous at `x=0`. If yes what is.the value of `f(0)`, if not then indicate the nature of discontinuity.

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MOTION-CONTINUITY -EXERCISE - 3
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  4. Let [x] denote the greatest integer function & f(x) be defined in a ne...

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  7. Draw the graph of the function f(x) = x - |x - x^(2)|, -1 le x le 1 an...

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  8. Discuss the continuity of 'f' in [0, 2], where f(x) = {{:(|4x - 5|[x],...

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  9. let f(x)=(lncosx)/{(1+x^2)^(1/4)-1} if x > 0 and f(x)=(e^(sin4x)-1)/(l...

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  10. Let f(x)={{:(1+x",", 0 le x le 2),(3-x"," ,2 lt x le 3):} find (fof)...

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  11. The function f(x)= ((2+ cos x)/(x^(3) sin x)-3/x^(4)) is not defined a...

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  12. The function f(x) = [{:((6/5)^(tan 6x)/(tan 5x), if, 0 lt x lt pi/2),(...

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  13. Determine a & b so that f is continuous at x = pi/2 whre f(x) = [{:(...

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  14. Determine the values of a , b , c for which the function f(x)={(sin(a+...

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  15. If f(x) = (Sin 3x + A sin 2x + B sinx)/x^5 for x != 0is continuous a...

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  16. A function f: RvecR is defined as f(x)=(lim)(nvecoo)(a x^2+b x+c+e^(n ...

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  18. f(x) = {{:((a^(sin x)-a^(tanx))/(tan x-sin x), "for",x gt 0),((ln(1+x+...

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  19. let f(x)=x^3-x^2-3x-1 , g(x)=(x+1)aand h(x)=f(x)/g(x) where h is a rat...

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