Class 12 Continuity And Differentiability · Short Answer2 Markscontinuity_parameters
Class 12 Maths · Continuity And Differentiability · Short Answer #115
For x≠0, f(x)=sin x/x+cos x, and f(0)=k. Find k for continuity at 0.
✅ Step-by-Step Solution
Final Answer: k=2
- Use the standard limits sin x/x→1 and cos x→1 at 0.
- Thus limₓ→₀ f(x)=1+1=2. Continuity requires f(0)=k to equal that limit.
- Therefore k=2.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Use the standard limits sin x/x→1 and cos x→1 at 0.
- [1 mark] Thus limₓ→₀ f(x)=1+1=2. Continuity requires f(0)=k to equal that limit.
- [0.5 marks] Therefore k=2.
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