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The value of k for which `f(x) = {((3x + 4 tan x)/(x)","," where " x != 0),(" k,"," where " x = 0):}` is continuous at x = 0, isA. 7B. 4C. 3D. none of these |
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Answer» Correct Answer - A `f(0) = k` `underset(x rarr 0)(lim) f(x) = underset(x rarr 0)(lim) (3x + 4 tan x)/(x) = underset(x rarr 0)(lim) {3 +(4 tan x)/(x)} = (3 + 4) = 7` `:. f(x)` is continuous at `x = 0 hArr f(0) = 7 hArr k = 7` |
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