`y=f(x)` is a continuous function such that its graph passes through `(a ,0)` . Then `("lim")_(xveca)((log)_e(1+3f(x)))/(2f(x))i s :` 1 (b) 0 (c) `3/2` (d) `2/3`

y=f(x) is a continuous function such that its graph passes through (a ,0) . Then ("lim")_(x->a)(log_e(1+3f(x)))/(2f(x))i s : (a) 1 (b) 0 (c) 3/2 (d) 2/3

y=f(x) is a continuous function such that its graph passes through (a,0). Then lim_(x rarr a)(log_(e)(1+3f(x)))/(2f(x))is:1(b)0(c)(3)/(2)(d)(2)/(3)

If graph of the function y=f(x) is continuous and passes through point (3,1) then (lim)_(xvec3)((log)_e(3f(x)-2))/(2(1-f(x))) is equal 3/2 b. 1/2 c. -3/2 d. -1/2

If graph of the function y=f(x) is continuous and passes through point (3, 1) then lim_(xrarr3) (log_(e)(3f(x)-2))/(2(1-f(x))) is equal

If graph of the function y=f(x) is continuous and passes through point (3, 1) then lim_(xrarr3) (log_(e)(3f(x)-2))/(2(1-f(x))) is equal

If graph of the function y=f(x) is continuous and passes through point (3,1) then lim_(x rarr3)(log_(e)(3f(x)-2))/(2(1-f(x))) is equal (3)/(2) b.(1)/(2)c.-(3)/(2)d

Let f(x) be a continuous function such that f(a-x)+f(x)=0 for all x in [0,a] . Then int_0^a dx/(1+e^(f(x)))= (A) a (B) a/2 (C) 1/2f(a) (D) none of these

Let f(x) be a continuous function such that f(a-x)+f(x)=0 for all x in [0,a] . Then int_0^a dx/(1+e^(f(x)))= (A) a (B) a/2 (C) 1/2f(a) (D) none of these

If the graph of the function y=f(x) has a unique tangent at the point (a ,0) through which the graph passes, then evaluate ("lim")_(xveca)((log)_e{1+6f(x)})/(3f(x))

Suppose |[f'(x),f(x)],[f''(x),f'(x)]|=0 is continuously differentiable function with f^(prime)(x)!=0 and satisfies f(0)=1 and f'(0)=2 then (lim)_(x->0)(f(x)-1)/x is 1//2 b. 1 c. 2 d. 0