Ex.
No. 3.1
1.
Are the following functions continuous on the set of real numbers? Justify your
answers: [Solution & Video Click Here]
(i) f(x) = 7
(ii) f(x) = e
(iii) f(x) = log
19
(iv) f(x) = 7x4 - 5x3 - 3x + 1
(v) g(x) = sin(4x - 3)
(vi) h(x) = (5x2 + 7x + 2) / x3 + x2 + x + 3
vii. g(x) = 13x2 + 16x + 19
viii. f(x) = 5x
ix. f(x) = 32x - 15x
x. f(x) = e5x+7
2. Examine the continuity of the following functions at the given points:
(i) f(x) = x2 - x + 9 for x ≤ 3
= 4x + 3 for x > 3 at x = 3 [Solution & Video Click Here]
(ii) f(x) = x2 - 16 / 4 - 4 for x =/ 4 [Solution & Video Click Here]
