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Class 12 Continuity And Differentiability · Mcq Single Correct1 Markscontinuity_parameters

Class 12 Maths · Continuity And Differentiability · Mcq Single Correct #5

For x≠0, f(x)=(e^(3x)−e^(−5x))/x, and f(0)=k. Find k for continuity at 0.

✅ Step-by-Step Solution

Final Answer: Option (D): 8
  1. Write the numerator as (e^(3x)−1)−(e^(−5x)−1). Dividing by x and taking limits gives 3−(−5)=8.

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