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NAGEEN PRAKASHAN-Continuity and Differentiability-Exercies 5c
- Show that the function f(x)=x^2 is continuous and differentiable at x=...
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- Show that the function f(x)={:{(5-x"," x ge2),(x+1 "," x lt 1):}
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- Show that the function f(x)={:{(1-x", " x lt1),(x^2-1 ", " x ge 1):}...
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- Show that the function f(x)={:{(3+x", " xge0),(3-x", " x lt 0):}...
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- show that the function is always differentiable .
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- Show that the function f(x)={:{(x^2+2", " xge1),(2x+1", " x lt 1 )...
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- Show that the function f(x)=|x-3|,\ x in \ |R , is continuous but n...
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- Show that the function f(x)={xsin1/x\ \ \ ,\ \ \ \ w h e n\ x!=0 0\ \ ...
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- If f(x)={:{(1+sin x", " 0 le x lt pi//2),(" "1 ", ...
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- If f(x)=|x| then show that f(3) =1
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- If f(x) =If f(x)={:{(x^2+3x+a"," " " x le 1),( " "bx +2"," " " x ...
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- If f(x)={:{(x^2", "x le 1),( x^2-x+1"," x gt1):} then s...
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- Prove that the function If f(x)={:{((x)/(1+e^(1//x)) ", " x ne 0),(" ...
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- Prove that the function If f(x)={:{(6x-5", " x le 3),(2x^2-6x+13"...
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