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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
- If f(x)=[(8^x-4^x-2^x+1^2)/(x^2\ ),\ x >0e^xsinx+4x+k ln4,\ xlt=0 is c...
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- Let f(x)={(x-1)sin(1/(x-1)), if"x"!="1"0, if"x"="1"} . Then which one ...
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- (lim)(x->1)(1-x)tan((pix)/2)\ a. pi/2 b. pi c. 2/pi d. 0
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- The value of (lim)(x->pi/2)(int t\ dt)/(sin(2x-pi))integral from pi/...
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- The (lim)(x->0)(cos x)^(cotx) is -1 b. 1 c. 0 d. none of these
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- The value of a for which the function f(x)=f(x)={((4^x-1)hat3)/(sin(x...
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- The function f(x)=[x^2] (where [y] is the greatest integer less tha...
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- If f(x)={x e^(-(1/(|x|)+1/x)),\ x!=0 , 0,\ x=0,\ t h e n\ f(x) is a. C...
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- Let f(x) = (1-tanx)/(4x-pi), x != (pi)/4, x in [0,(pi)/2]. If f(x) is ...
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- The function f(x)=|x|+|x-1| is Continuous at x=1, but not differentiab...
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- Let f"":""RvecR be a function defined by f(x)""=""M in""{x""+""1,""...
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- The function f:""R""~""{0}vecR given by f(x)=1/x-2/(e^(2x)-1) ca...
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- If f'(x)=g(x) and g'(x)=-f(x) for all x and f(2)=4=f'(2) then f^(2)(4)...
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- ("lim")(xvec0)(x^asin^b x)/(sin(x^c)),w h e r ea , b , c in R ~{0},e ...
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- ("lim")(xvecpi/2){(x^3+1)/(x^2+1)-(a x+b)}=2,t h e n a=1,b=1 (b) a=1...
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- ("lim")(xvec0)(sinx^n)/((sinx)^m),(m<n),i se q u a lto 1 (b) 0 (c)...
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- ("lim")(xvecoo)(1/e-x/(1+x))^xi se q u a lto e/(1-e) (b) 0 (c) e/...
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- ("lim")(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1))i se q u a lto ...
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- ("lim")(xvecoo)(2sqrt(x)+3x3+4x4++n x n)/(sqrt((2x-3))+(2x-3)3++(2x-3)...
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- The value of ("lim")(xvecoo)(cos"x"/"m")^("m") is 1 (b) e (c) e^(-1...
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