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Find the values of a so that the function is continuous at x = 2.
Given:
The function f is continuous at x = 2
We know that,
If f is continuous at x = c, then The Left–hand limit, the Right–hand limit and the value of the function at x = c exist and are equal to each other.
⇒ 2a + 5
since f is continuous at x = 2,
∴ 2a + 5 = 1
⇒ 2a = 1 – 5
⇒ 2a = –4
⇒ a = –2
Thus, f is continuous at x = 2 if a = –2.