Discuss the continuity of the following functions :–f(x) = sin
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Continuity and Differentiability
Short Answer Type
71.
Examine the following functions for continuity :
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72.
Examine the following functions for continuity :
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73.
Examine the following functions for continuity :
f(x) = | x – 5 |
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74.
Discuss the continuity of sine function
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75.
Prove that the function defined by f(x) = tan x is a continuous function
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Long Answer Type
76.
Discuss the continuity of the cosine, cosecant, secant and cotangent functions.
140 Views
Short Answer Type
77.
Discuss the continuity of the following functions :
(a) f(x) = sin x + cos x
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78.
Discuss the continuity of the following functions :
–f(x) = sin x – cos x
f(x) = sin x – cos x
D
f
= R
Let a be any real number.
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79.
Discuss the continuity of the following functions :
f(x) = sin x.cos x
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80.
Let f be a function such that f(x + y) =f(x) +f(y), x,y∈ R
Show that if f is continuous at x = 0, then it is continuous everywhere.
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