Question

what is the answer of this limit function

Answer 1

Heya

______________________________

USING L'HOSPITALS RULE

lim {15x¹⁴ + 11x^10 } / 2x

x–>1

=>

lim 15(1)¹⁴ + 11 (1)^10 / 2

x–>1

=>

=26/2

=>

=13

Answer 2

Answer:

b) 13

Step-by-step explanation:

Method 1

Since x = 1 makes the numerator 0, we know (x-1) is a factor of the numerator.  Do long division to extract that factor.  The denominator is (x-1)(x+1).  Cancel the (x-1) factors and put in x = 1 in the result.

Method 2

If you know L'Hospital's rule, this knocks it over really fast.

Differentiate numerator and denominator to get

( 15x¹⁴ + 11x¹⁰ ) / 2x

Putting in x = 1, the limit is

26 / 2 = 13