If p is a polynomial and c is any real numbers then lim x - c Px-pcA- FalseB- True

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XI

Mathematics

Binomial Coefficients

If p is a pol...

Question

If p is a polynomial and c is any real numbers then $lim x \to c P (x) = p (c)$

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
True

This is only the mathematical expression saying that a polynomial is continuous function.

Example

$f (x) = x^{2} - 2 x + 1$

$lim x \to c f (x) = lim x \to c (x^{2} - 2 x + 1)$

$f (x) = c^{2} - 2 c + 1$

$f (x) = f (c)$

Suggest Corrections

Similar questions

If a polynomial p(x) has a factor (x - a), then p(a) = 0.

The remainder theorem states that if a polynomial say p(x) is divided by (x-a) (where a is any real number) then the remainder will be p(a). Is this true or false?

If p(x) is a polynomial of degree greater than 0. Then remainder of $\frac{p (x)}{(x - a)}$ is p(a)

If ${lim}_{x \to a} f (x) = L a n d {lim}_{x \to a} g (x) = m$ , then ${lim}_{x \to a} (f (x))^{g (x)} = L^{m}$

The remainder theorem states that
"When a polynomial p(x) is divided by (x-a) (where a is any real number), then the remainder will be p(a)."

Join BYJU'S Learning Program

If p is a polynomial and c is any real numbers then limx→cP(x)=p(c)

The correct option is A True This is only the mathematical expression saying that a polynomial is continuous function. Example f(x)=x2−2x+1 limx→cf(x)=limx→c(x2−2x+1) f(x)=c2−2c+1 f(x)=f(c)

If p is a polynomial and c is any real numbers then $lim x \to c P (x) = p (c)$

The correct option is A
True

This is only the mathematical expression saying that a polynomial is continuous function.

Example

$f (x) = x^{2} - 2 x + 1$

$lim x \to c f (x) = lim x \to c (x^{2} - 2 x + 1)$

$f (x) = c^{2} - 2 c + 1$

$f (x) = f (c)$