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CHHAYA PUBLICATION-CONTINUITY AND DIFFERENTIABILITY -EXERCISE 2A ( Long Answer Type Questions)
- A function f (x) is defined as follows : f(x)={{:(3x+1,"for "xle1 ),(...
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- A function f (x) is defined as f(x)={{:(ax+2,"when "xle3),(bx+3,"whe...
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- Let f(x)={{:((x^(3)+x^(2)-16x+20)/((x-2)^(2)),"when " xne2),(" "k,...
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- Let f(x)={{:((1-cos2ax)/(xsin2x),"when " xne0),(" " (1)/(2),"when " ...
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- If the following function f (x) is continuous at x = 0 , find k : ...
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- The function f(x)=(x^(3)-1)/(x-1) is undefined at x = 1 . Redefine the...
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- Show that the function f(x)={{:(x+(x+2)/(|x+2|),"when " xne-2),(" "-...
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- If the function f(x)={{:(3ax+b,"for "xgt1),(" " 11,"when " x=1),(5...
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- Let f(x)={{:((1-sin^(3)x)/(3cos^(2)x),"if "x lt(pi)/(2)),(a,"if "x=(pi...
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- Let f(x)={{:((sin(a+1)x+sinx)/(x)",","when " xlt0),(" c,","wh...
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- Show that the function f(x)=|sinx+cosx| is continuous at x = pi.
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- Show that the function g(x)=x-[x] is discontinuous at all integral po...
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- Find from the first principle , the derivatives of the following funct...
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- Find from the first principle , the derivatives of the following funct...
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- Find from the first principle , the derivatives of the following funct...
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- Find from the first principle , the derivatives of the following funct...
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- Find from the first principle , the derivatives of the following funct...
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- Find from the first principle , the derivatives of the following funct...
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- Find from the first principle , the derivatives of the following funct...
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- f(x)={{:(x^(2)-2x+3,"for "xlt1),(" "2,"for "x=1),(2x^(2)-5x+5,"for ...
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