TS EAMCET · Maths · Continuity and Differentiability
If , then is
- A discontinuous at zero
- B continuous but not differentiable at zero
- C differentiable at zero
- D not continuous and not differentiable at zero
Answer & Solution
Correct Answer
(C) differentiable at zero
Step-by-step Solution
Detailed explanation
f'0+=limh→0f0+h-f0h =limh→0fhh =limh→0lncoshln1+h2×h2h2 ....1 {Multiplying Numerator & denominator by h} =limh→0h2ln1+h2×limh→0lncoshh2 =limh→0h2ln1+h2×limh→0-tanh2h {Using L'Hospital's…
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