If the function f(x) = {\\begin{array}{c}\\\{ \sin \\\⁡x\end\frac{array}{x} + \sec ⁡x{, }x \neq 0 ; a\:x = 0 ; } is continuous at x = 0, what is the value of a?

AAI ATC Junior Executive 27 Dec 2023 Shift 1 Paper

Question : 99 of 120

Marks: +1, -0

If the function

f(x) = {\{\table \;{ sin \;⁡x}/{x} + \ sec ⁡x{, \;}x ≠ 0 ; a\:x = 0 ; }

is continuous at x = 0, what is the value of a?

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