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**Q1. Which one of the following is not true always? **

**(a) If f(x) is not continuous at x = a, then it is not differentiable at x = a**

**(b) If f(x) is continuous at x = a, then it is differentiable at x = a **

**(c) If f(x) and g(x) are differentiable at x = a. then f(x) + g(x) is also differentiable
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**(d) if a function f(x) is continuous at x = a, then `Lim_(x->a)`
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**Q2. `lim_(x->1)` (1 -x) tan `((pi x)/2)` = **

**Q3. The`lim_(x->0)` (cos) ^{cot x} is **

**Q4. The function f(x) = [x] ^{2} - [x^{2}], (where [y] is the greatest integer less than or equal to y), is discontinuous at **

**Q5. The function f(x) = |x| + |x - 1| is **