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 For what values of a and b, f is a continuous function.
  • a)
    a=2,b=0
  • b)
    a=1,b=0
  • c)
    a=0,b=2
  • d)
    a=0,b=0
Correct answer is 'A'. Can you explain this answer?
Verified Answer
For what values of a and b, f is a continuous function.a)a=2,b=0b)a=1,...
For continuity: LHL = RHL
At x=2,
LHL: x < 2 ⇒ f(x) = 2*a
RHL: x ≥ 2 ⇒ f(x) = 4
For continuity: LHL = RHL
⇒ 2a = 4 ⇒ a = 2
At x = 0,
LHL: x < 0 ⇒ f(x) = b
RHL: x ≥ 0 ⇒ f(x) = 0 * a
For continuity: LHL = RHL
b = 0
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Most Upvoted Answer
For what values of a and b, f is a continuous function.a)a=2,b=0b)a=1,...
For continuity: LHL=RHL
at x=2,
LHL: x < 2 ⇒ f(x) = 2*a
RHL: x ≥ 2 ⇒ f(x) = 4
For continuity: LHL = RHL
⇒ 2a = 4 ⇒ a = 2
at x = 0,
LHL: x < 0 ⇒ f(x) = b
RHL: x ≥ 0 ⇒ f(x) = 0 * a
For continuity: LHL = RHL
⇒ b = 0
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Community Answer
For what values of a and b, f is a continuous function.a)a=2,b=0b)a=1,...
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For what values of a and b, f is a continuous function.a)a=2,b=0b)a=1,b=0c)a=0,b=2d)a=0,b=0Correct answer is 'A'. Can you explain this answer?
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