Illustration : Discuss the continui...
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Illustration : Discuss the continuity of f(x) = Lim cos2n x. n->

JEE/Engineering Exams
Maths
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( lim _{n rightarrow infty} cos ^{2 n} x ) ( lim _{n rightarrow infty} a^{n}=left{begin{array}{ll}0 & 0 leq a<1 1 & a=1 0 & a>1end{array}right} ) ( f(x)=lim _{n rightarrow infty}left(cos ^{2} xright)^{n}=left{begin{array}{ll}0 & 0 leqslant cos ^{2} x<1 1 & cos ^{2} x=1end{array}=right. ) an The funchion is disconfinuos ( left{begin{array}{l}0 quad x eq n pi, n in I text { at } bmod (x=n pi n in Iend{array}right. )
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