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CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
- Find the value of x where f(x)={x ,if x is rational 1-x ,if x is ir...
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- Discuss the continuity of the following function : f(x)={1,if x is rat...
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- If f(x)=(x+1)/(x-1)a n dg(x)=1/(x-2),t h e n discuss the continuity ...
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- If p,q,r are any real number, then
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- Discuss the continuity of f(x)=("lim")(n->oo)cos^(2n)xdot
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- Find the values of a if f(x)=("lim")(n rarr oo)(a x^(2n)+2)/(x^(2n)+a...
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- If f(x)={(ln x).sgn({x-1/2});1 < x le 3 and {x^2};3 < x le 3.5. Find t...
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- Discuss the continuity of f(x)=(lim)(n->oo)(x^(2n)-1)/(x^(2n)+1)
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- If f(x)=sgn(2sinx+a) is continuous for all x , then find the possible ...
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- Discuss the continuity of f(x)=|x|sgn(x^3-x)
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- Discuss the continuity of f(x)=sgn(2cosx-1)
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- Discuss the continuity of f(x)=sgn(x^2-2x+3)
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- Discuss the continuity of f(x)={(x{x}+1 ,, 0lt=x<1),(2-{x} ,, 1lt=x<2)...
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- Discuss the continuity of f(x)=sgn(x^3-x)
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- Show that the function f(x)=(x-a)^2(x-b)^2+x takes the value (a+b)/2 f...
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- Prove that f(x)=(x^3)/4-sinpix+3 takes the value of 7/3 for x in [-2,2...
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- Suppose f is a continuous map from R to R and f(f(a))=a for some adot ...
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- Let f:[0,1] rarr [0,1] be a continuous function. Then prove that f(x)...
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- Discuss the differentiability of f(x)={( x sin(ln x^2),x!=0),( 0,x=0):...
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- Discuss the differentiability of f(x)={((sinx^2)/x ,x!=0), (0,x=0):} a...
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