`lim_(h->o)(1-cosh)/(hsinh)`

Let f(x)=3x^10-7x^8+5x^6-21x^3+3x^2-7 , then the value of lim_(h->0) (f(1-h)-f(1))/(h^3+3h)

lim_(x->0)[(1-e^x)(sinx)/(|x|)]i s(w h e r e[dot] represents the greatest integer function). (a) -1 (b) 1 (c) 0 (d) does not exist

Suppose f(x) is differentibale for all x and lim_(h to 0) (1)/(h) (1+h)=5"then f'(1) equals"

Let lim_(x->oo) sqrt((x-cos^2x)/(x+sinx)) and I_2 = lim_(h->0^+) int_(-1)^1 hdx/(h^2+x^2) . Then

lim_(h -> 0) (sin(a+3h)-3sin(a+2h)+3sin(a+h)-sina)/h^3 =

If lim_(n->oo)1/((sin^(-1)x)^("n")+1)=1 ,t h e n find the value of x.

Suppose f (x) is differentiable at x=1 and lim _(h to0) (f(1+h))/(h) =5. Then f '(1) is equal to-

Evaluate: ("lim")_(h->0)((a+h)^2sin(a+h)-a^2sina)/h

lim_(x->1)sqrt(1-cos2(x-1))/(x-1) a. exists and its equals sqrt(2) b. exists and its equals sqrt(-2) c.does not exist because x-1->0 d. L.H.L not equal R.H.L

Evaluate lim_(hto0) [(1)/(h^(3)sqrt(8+h))-(1)/(2h)].