73.Examine the following functions for continuity :
f(x) = | x – 5 |
Here f(x) = | x – 5 | Function f is defined for all real numbers. Let c be any real number. ∴ f is continuous at.x = c. But c is any real number ∴ f is continuous at every real number.
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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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76.Discuss the continuity of the cosine, cosecant, secant and cotangent functions.
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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
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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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