f(x) = lim(n--infinity) {[x^2] + [(2x)^2]+.............+[(nx)^2]}/n where [.] represents greatest integer function f(x) is continuous at: a.){-infinity,infinity} b.){-infinity,infinity} ~ I c.){-infinity,infinity} ~ {0} d.){-infinity,infinity} ~ {0,1}

Question

f(x) = lim(n-->infinity) {[x^2] + [(2x)^2]+.............+[(nx)^2]}/n

where [.] represents greatest integer function

f(x) is continuous at:

a.){-infinity,infinity}
b.){-infinity,infinity} ~ I
c.){-infinity,infinity} ~ {0}
d.){-infinity,infinity} ~ {0,1}

Pravin S · Answer

option c

Priyank Bang · Answer

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f(x) = lim(n-->infinity) {[x^2] + [(2x)^2]+.............+[(nx)^2]}/n where [.] represents greatest integer function f(x) is continuous at: a.){-infinity,infinity} b.){-infinity,infinity} ~ I c.){-infinity,infinity} ~ {0} d.){-infinity,infinity} ~ {0,1}

f(x) = lim(n-->infinity) {[x^2] + [(2x)^2]+.............+[(nx)^2]}/n

where [.] represents greatest integer function

f(x) is continuous at:

a.){-infinity,infinity}
b.){-infinity,infinity} ~ I
c.){-infinity,infinity} ~ {0}
d.){-infinity,infinity} ~ {0,1}

2 Answers

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f(x) = lim(n-->infinity) {[x^2] + [(2x)^2]+.............+[(nx)^2]}/n where [.] represents greatest integer function f(x) is continuous at: a.){-infinity,infinity} b.){-infinity,infinity} ~ I c.){-infinity,infinity} ~ {0} d.){-infinity,infinity} ~ {0,1}

f(x) = lim(n-->infinity) {[x^2] + [(2x)^2]+.............+[(nx)^2]}/n where [.] represents greatest integer function f(x) is continuous at: a.){-infinity,infinity} b.){-infinity,infinity} ~ I c.){-infinity,infinity} ~ {0} d.){-infinity,infinity} ~ {0,1}

2 Answers

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f(x) = lim(n-->infinity) {[x^2] + [(2x)^2]+.............+[(nx)^2]}/n

where [.] represents greatest integer function

f(x) is continuous at:

a.){-infinity,infinity}
b.){-infinity,infinity} ~ I
c.){-infinity,infinity} ~ {0}
d.){-infinity,infinity} ~ {0,1}