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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
- Let f: Rvec be such that f(!)=3a n df^(prime)(1)=6. Then ("lim")(xvec...
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- Q. f={(x+a if x<0), (x-11 if x>=0) g(x)={(x+1 if x<0),(x-1)^2 if x...
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- If (lim)(x->0)(sin(n x)[(a-n)n x-t a n x])/(x^2)=n (n >0) then the val...
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- If a function f: [-2a, 2a] -> R is an odd function such that, f(x) = f...
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- The function given by y=||x|-1| is differentiable for all real n...
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- If |f(x1) - f(x2)| le (x1 - x2)^(2), AA x1 , x2 in R. Find the equatio...
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- Let g(x) = (x-1)^n/(log(cos^m(x-1))) ; 0 lt x lt 2 ,m and n and let p ...
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- If lim(x->0)[1+x1n(1+b^2)]^(1/x)=2bsin^2theta,b >0,where theta...
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- If f(x) {-x-pi/2,xle-pi/2 and -cosx,-pi/2 < xle0 and x-1,0< x le1 and ...
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- Let f : R to R be a function such that f(x+y) = f(x)+f(y),Aax, y in...
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- Let f: (0,1) to R be defined by f(x)=(b-x)/(1-bx) where b is a constan...
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- Let f(x)={x^2|cospi/x|,\ x!=0 ,\ x=0,\ x in Rdot\ t h e n\ f is (a) D...
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- If ("lim")(xvecoo)((x^2+x+1)/(x+1)-a x-b)=4,t h e n a=1,b=4 (b) a=1,...
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- Evaluate: ("lim")(xvec0)(log(5x)-"log"(5-x))/x
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- Q. For every integer n, let an and bn be real numbers. Let function f:...
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- Let F(x) ={(x-1)sin1/(x-1) , x!=1 ,{ 0, x=1 then which one of the f...
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- Let f(x)""=""x|x|""a n d""g(x)""=""s in x Statement 1 : gof is diff...
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- (lim)(xvec2)((sqrt(1-cos{2(x-2)}))/(x-2)) (1) does not exist (2) equa...
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- The value of p and q for which the function f(x)""={(sin(p+1)x+sinx)/x...
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- (lim)(xvec0)((1-cos2x)(3+cosx)/(xtan4x) is equal to: (1) 4 (2) 3 (...
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