`lim_(x rarr oo)x*sin x`

Evaluate: lim_(x rarr oo)(x+7sin x)/(-2x+13) using sandwich theorem.

lim_(x rarr oo)x sin(1/x)=

lim_(x rarr oo)(2+sin x)/(x^(2)+3)

lim_(x rarr oo) sin x /x =1

lim_(x rarr oo)(sin x)/(x)+lim_(x rarr oo)(log x)/(x) equals

lim_ (x rarr0x rarr0) (sin6x) / (tan3x) a, lim_ (x rarr oo) (sin x) / (x) = b, lim_ (x rarr oo) (log x) / (x) = c

(lim)_(x rarr oo)(sin x)/(x) equals a.1b*0c.oo d . does not exist

Which of the following limits vanish? lim_(x rarr oo)(sin x)/(x)

If a=lim_(x rarr0)(1-cos x)/(x^(2)),b=lim_(x rarr0)(sin3x)/(x),c=lim_(x rarr oo)(sin x)/(x) then find the value of (2a+b+c)

If a=lim_(x rarr oo)(sin x)/(x)&b=lim_(x rarr0)(sin x)/(x) Then int_(a)^(b)(log(1+x))/(1+x^(2))dx is equal to