Let <span class=

Question 25

Mathematics Limit of Functions Hard

Let <span class="math-tex">\(f\left( x \right) = \left\{ {\begin{array}{*{20}{c}} {\cos \left[ x \right],}&{x \ge 0}\\ {\left| x \right| + a,}&{x < 0} \end{array}} \right.,\)</span> where [x] denotes the greatest integer ≤ x. If f should be continuous at x = 0, then a must be

(A) 0

(B) 1

(C) 2

(D) -1

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Correct Solution: Option B

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