Show that :
`lim_( h -> 0 ) Sinh / h = 1`

lim_(h rarr0)h sin(1/h)

lim_(h rarr0)(sin h)/(h)

Show that lim_(h rarr0)((sin(x+h))^(x+h)-(sin x)^(x))/(h)=(sin x)^(x)[x cot x+In sin x]

If f '(2) =1, then lim _( h to 0 ) (f (2+ h ^(2)) -f ( 2- h ^(2)))/( 2h ^(2)) is equal to

Evaluate the following limits : lim_(h to 0)1/h[1/(x+h)-1/x]

Show that the points (3, 3), (h, 0) and (0,k) are collinear if 1/h + 1/k = 1/3

Show that lim_(xrarr0)(1)/(|x|)=oo.

Evaluate lim_(h to 0) ((a+h)^(2) sin (a+h) -a^(2) sin a)/h .

Given that for each a in (0,1)lim_(x to 0) int_(h)^(-h) t^(-a)(1-t)^(a-1)dt exits and is equal to g(a).If g(a) is differentiable in (0,1), then the value of g'((1)/(2)) , is