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  • Need solution for RD Sharma maths class 12 chapter Continuity exercise 8.2 question 14

Need solution for RD Sharma maths class 12 chapter Continuity exercise 8.2 question 14

Answers (1)

Answer:

 cos2 x is continuous

Given:

 f(x) = cos x2

Explanation:

 f(x) = cos x2

Let a be any real number then,

L.H.L

\begin{aligned} &\lim _{x \rightarrow a-} f(x)=\lim _{h \rightarrow 0} f(a-h) \\ &=\lim _{h \rightarrow 0} \cos (a-h)^{2} \\ &=\cos a^{2} \end{aligned}

R.H.L

\begin{aligned} &\lim _{x \rightarrow a^{-}} f(x)=\lim _{h \rightarrow 0} f(a+h) \\ &=\lim _{h \rightarrow 0} \cos (a+h)^{2} \\ &=\cos a^{2} \end{aligned}

Also, L.H.L=R.H.L=f(a)

f(x)  is continuous everywhere

Posted by

Gurleen Kaur

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