Let f: R → R be a function defined as f(x) = \ 5; x ≤ 1 a + bx; 1 < x < 3 b + 5x; 3 ≤ x < 5 30; x ≥ 5. Then, f is

(D) not continuous for any values of a and b

(A) continuous if a = 0 and b = 5

(B) continuous if a = –5 and b = 10

(C) continuous if a = 5 and b = 5

Limit, Continuity and Differentiability: JEE Main 2019 Mathematics question

JEE Main 2019 · 9 Jan, Morning shift · Q4133

JEE Main 20199 Jan, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let f : R

\to

R be a function defined as

f(x) = \left\{ {\matrix{ 5 & ; & {x \le 1} \cr {a + bx} & ; & {1 < x < 3} \cr {b + 5x} & ; & {3 \le x < 5} \cr {30} & ; & {x \ge 5} \cr } } \right.

Then, f is

JEE Main 2019 · 9 Jan, Morning shift · Q4133

JEE Main 20199 Jan, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let f : R

\to

R be a function defined as

f(x) = \left\{ {\matrix{ 5 & ; & {x \le 1} \cr {a + bx} & ; & {1 < x < 3} \cr {b + 5x} & ; & {3 \le x < 5} \cr {30} & ; & {x \ge 5} \cr } } \right.

Then, f is