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NCERT EXEMPLAR-CONTINUITY AND DIFFERENTIABILITY-Continuity And Differentiability
- If f is continuous on its domain D; then |f| is also continuous on D
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- If f is continuous on its domain D; then |f| is also continuous on D
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- The composition of two continuous function is a continuous function.
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- Trigonometric and inverse trigonometric functions are differentiable ...
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- If f.g is continuous at x = 0 , then f and g are separately continuou...
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- Examine contnuity of the function f(x) = x^(3) + 2x^(2)- 1 at x = 1.
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- f(x)={{:(3x+5, if x ge 2),(x^(3), if x le 2):}at x = 2
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- f(x)={{:((1-cos2x)/(x^(2)),if x ne 0),(5, if x = 0):} at x = 0.
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- f(x) = {{:((2x^(2)-3x-2)/(x-2), if x ne 2), (5, if x = 2):} at x = 2.
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- f(x)= {{:((|x-4|)/(2(x-4)), if x ne 4),(0,if x = 4):} at x = 4.
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- f(x)={{:(|x|cos\ 1/x, if x ne 0),(0, if x =0):} at x = 0 .
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- f(x) = {{:(|x|sin\ (1)/(x-a),if x ne 0),(0, if x =a):} at x = a
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- f(x)={{:(e^(1//x)/(1+e^(1//x)),if x ne 0),(0,if x = 0):} at x = 0
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- {{:(x^(2)/2, if 0le x le 1),(2x^(2)-3x+3/2, if l lt x le 2):} at x = ...
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- f(x) = |x| + |x-1| at x = 1.
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- f(x)={{:(3x-8, if x le 5),(2k, if x gt 5) :} at x = 5
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- If f(x)={(2^(x+2)-16)/(4^x-16),ifx!=2k ,ifx=2i scon t inuou sa tx=2,f...
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- f(x) = {{:((sqrt(1+kx)-sqrt(1-kx))/(x),if -1 le x lt 0),((2x+1)/(x-1),...
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- f(x) = {{:((1-coskx)/(x sinx), if x ne 0),(1/2, if x = 0):} at x = 0
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- Prove that the function f defined by f(x) = {{:((x)/(|x|+2x^(2)), if ...
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