Let [.] denote the greatest integer function. Assertion (A): \lim_{x \to \infty} \frac{[x]}{x}=1 Reason (R): f(x)=x-1, g(x)=[x], h(x)=x and \lim_{x \to \infty} \frac{f(x)}{x}=\lim_{x \to \infty} \frac{h(x)}{x}=1

Correct Answer is : A is true, R is true; R is correct explanation of A

{\A} is true, {\R} is true; {\R} is correct explanation of {\A}

A, R are true; R is not the correct explanation of A

AP EAPCET 18th May 2023 Shift 2 Solved Paper

Section: Mathematics

Question : 61 of 160

Marks: +1, -0

Let [.] denote the greatest integer function.
Assertion (A):

lim

x→∞

‌

[x]

=1
Reason (R): f(x)=x−1,g(x)=[x],h(x)=x and

lim

x→∞

‌

f(x)

lim

x→∞

‌

h(x)

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