f(x)={{:(cosx",","when",x ge0, ),(-cosx"...

`f(x)={{:(cosx",","when",x ge0, ),(-cosx",", "when", x lt0):}` is discontinuous at x =0

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5(a) (SHORT ANSWER TYPE QUESTIONS)

Discuss the continuity of the function f defined by f(x)=1/x , x!=0.
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Discuss the continuity of the function : f(x)={{:(x",if "xge0),(x^(2...
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Discuss the continuity of the function defined byf(x)={x+2, ifx<0-x+2,...
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Examine the continuity of the function : f(x)={{:(x+1" , "xle2),(2x-...
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f(x)={{:((x^(2)-25)/(x-5)",","when",x ne 5),( 10",", "when",x=5):} is ...
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Discuss the continuity of the function : f(x)={{:((|x-2|)/(x-2)", "x...
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Discuss the continuity of the function : f(x)={{:((|x-2|)/(2-x)", "x...
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Discuss the continuity of the function : f(x)={{:((|x-a|)/(x-a)",whe...
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Discuss the continuity of the function f, where f is defined by f(x){{...
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Discuss the continuity of the function f, where f is defined byf(x)={...
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Discuss the continuity of the function : f(x)={{:(x", "0lexlt1/2),(...
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Discuss the continuity of the function : f(x)={{:((1-cosx)/x^(2)", "...
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Show that the function f(x)defined as f(x) = xcos(1/x),x!=0; 0,x=0is c...
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Show that the following functions are continuous at x = 0 : f(x)={{:...
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Test the continuity of the function f (x) : f(x)={{:(x^(2)sin.(1)/(...
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f(x)={{:(cosx",","when",x ge0, ),(-cosx",", "when", x lt0):} is discon...
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Examine the continuity of the function f(x) at x = 0. f(x)={{:(sinx/...
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Examine the continuity of the funcation f(x)={{: ((|sinx|)/x",", xne...
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Examine the continuity of the function f(x) at x = 0. f(x)={{:((tan2...
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Discuss the continuity of the cosine, cosecant, secant and cotangen...
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