Value of f ( 2 π ) so that the function is continuous at x = 2 π is, if

Put x = 2 π + h ⇒ Lt h → 0 4 h 2 l n ( 1 + 4 h 2 ) ( 1 − c o s h ) l n ( c o s h ) Simplify to get − 64 1

Mathematics - Limits Question with Solution | TestHub

MathematicsLimitsTrigonometric and Inverse Trigonometric limitsHard2 minQB

MathematicsHardsingle choice

Value of $f (\frac{π}{2})$ so that the function is continuous at $x = \frac{π}{2}$ is, if

Answer:

Solution:

Put $x = \frac{π}{2} + h$

$\Rightarrow Lt_{h \to 0} \frac{( 1 - c o s h ) l n ( c o s h )}{4 h ^{2} l n ( 1 + 4 h ^{2} )}$

Simplify to get $- \frac{1}{64}$

Stream:JEESubject:MathematicsTopic:LimitsSubtopic:Trigonometric and Inverse Trigonometric limits

⏱ 2mℹ️ Source: QB

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