Home
Class 11
MATHS
If 3x+2y= 1 acts as a tangent y=f(x) a...

If `3x+2y= 1` acts as a tangent `y=f(x) at x=1/2` and if `p=lim_(x->0)(x(x-1))/(f((e^(2x))/2)-f((e^(-2x))/2))` then `sum_(r=1)^oo p^r=...........` (A) `1/2` (B) `1/3` (C) `1/6` (D) `1/7`

Promotional Banner

Similar Questions

Explore conceptually related problems

If 3x+2y=1 is a tangent to y=f(x) at x=1//2 , then lim_(xrarr0) (x(x-1))/(f((e^(2x))/(2))-f((e^(-2x))/(2)))

If 3x+2y=1 is a tangent to y=f(x) at x=1//2 , then lim_(xrarr0) (x(x-1))/(f((e^(2x))/(2))-f((e^(-2x))/(2)))

If 3x+2y=1 acts as a tangent y=f(x)atx=(1)/(2) and if p=lim_(x rarr0)(x(x-1))/(f((e^(2x))/(2))-f((e^(-2x))/(2))) then sum_(r=1)^(oo)p^(r)=......... (A) (1)/(2)(B)(1)/(3)(C)(1)/(6)(D)(1)/(7)

The value of lim_(x->0)((1+2x)/(1+3x))^(1/x^2)e^(1/x) is e^(5/2) b. e^2 c. e^(-2) d. 1

Let f: R->R be such that f(1)=3 and f^(prime)(1)=6. Then lim_(x->0)((f(1+x))/(f(1)))^(1//x)= (a) 1 (b) e^(1/2) (c) e^2 (d) e^3

Let R rarr R be such that f(1)=3 and *f'(1)=6. then lim_(x rarr0)((f(1+x))/(f(1))) equal : (1)1(2)e^((1)/(2))(3)e^(2) (4) e^(3)

f(x)=(1n(x^2+e^x))/(1n(x^4+e^(2x)))dotT h e n lim_(x->oo)f(x) is equal to (a) 1 (b) 1/2 (c) 2 (d) none of these

f(x)=(1n(x^2+e^x))/(1n(x^4+e^(2x)))dotT h e n lim_(x->oo)f(x) is equal to (a) 1 (b) 1/2 (c) 2 (d) none of these

f(x)=(1n(x^2+e^x))/(1n(x^4+e^(2x)))dotT h e n lim_(x->oo)f(x) is equal to (a) 1 (b) 1/2 (c) 2 (d) none of these