The value of lim x-> 0 xsin (1/x) is?
As it is applicable in 0/0 formm
See l hopital cant be used
Use l hopital rule
Therefore. Lim x->0 Sin x^-1 / x^-1 =1
As we know lim x->0 sin x /x =1
See sin(1/0) is a finite value oscillating between -1 and 1 therefore when we put 0 in the above equation it will become 0 multiplied by sin(1/0) which is zero as any no. multiplied by zero is zero
1 .... Actually slightly less than 1.
Give me proof.