Home
Class 12
MATHS
Let f(x) is a five degree polynomial whi...

Let f(x) is a five degree polynomial which has critical points `x = pm1` and `lim_(x rarr 0) (2 + f(x)/x^3) = 4` then which one is incorrect.

A

f(x) has minima at x = 1 & maxima at x = –1

B

f(1) –4f(–1) = 4

C

f(x) is maxima at x = 1 and minima at x = –1

D

f(x) is odd

Text Solution

Verified by Experts

The correct Answer is:
A

NA
Promotional Banner

Similar Questions

Explore conceptually related problems

f(x)=e^x then lim_(x rarr 0) f(f(x))^(1/{f(x)} is

If f(x)=|x|, prove that lim_(x rarr0)f(x)=0

Given lim_(x rarr0)(f(x))/(x^(2))=2 then lim_(x rarr0)[f(x)]=

If f(x) is odd linear polynomial with f(1)=1 then lim_(x rarr0)(2^(f(cos x))-2^(f(sin x)))/(x^(2)f(sin x)) is

If f'(x)=f(x) and f(0)=1 then lim_(x rarr0)(f(x)-1)/(x)=

Let p(x) be a polynomial of degree 4 having extremum at x=1,2 and lim_(x rarr0)(1+(p(x))/(x^(2)))=2. Then find the value of p(2)

If f(x)=x,x 0 then lim_(x rarr0)f(x) is equal to

f(x)=x,x 0 then find lim_(x rarr0)f(x) if exists

Let f(x) be a polynomial of degree four having extreme values at x=1 and x=2. If lim_(x to 0)(1+(f(x))/(x^(2)))=3, then f(2) is equal to