Q1. Find the value of c such that f(x) is continuous at x=3

Ans : c= \(\frac{1}{3}\)

Q2.Find all the values of x where g(x) is discontinuous.

Ans : At x=1, there is a discontinuity

Q3. Find the values of x for which f(x) is continuous.

f(x) = \(\frac{x^2+3x+7}{x^2+3x-4}\)

Ans: f(x) is continuous when x ɛ (-∞, -4) U (-4, 1) U(1, +∞)

Q4. Find the values of x for which g(x) is continuous

Ans:  g(x) is continuous when x ɛ (-∞,0) U (4,+∞ )

Q5. Find the values of x for which h(x) is continuous.

h(x) = In (\(\frac{x-1}{x-3})\))

Ans :    h(x) is continuous when x ɛ (-∞ , -3) U (1, +∞)