EVALUATE THE LIMIT BY DIRECT SUBSTITUTION

Evaluate the following limits

Problem 1 :

limx5 10 - x2

Solution :

= limx5 10 - x2Applying the given limit, we get= 10 - 52= 10 - 25= -15

Problem 2 :

limx-2 12x3-5x

Solution :

= limx-2 12x3-5xApplying the given limit, we get=12(-2)3-5(-2)=12(-8)+10= -4+10= 6

Problem 3 :

limx-3 2x2+4x+1

Solution :

= limx-3 2x2+4x+1Applying the limit, we get= 2(-3)2+4(-3)+1= 2(9)-12+1= 18-12+1= 19-12= 7

Problem 4 :

limx-2 x3-6x+5

Solution :

= limx-2 x3-6x+5Applying the limit, we get= (-2)3-6(-2)+5= -8+12+5= -8+17= 9

Problem 5 :

limx3 -9x

Solution :

= limx3 -9xApplying the limit, we get= -93= -3

Problem 6 :

limx-5 6x+2

Solution :

= limx-5 6x+2Applying the limit, we get= 6-5+2=6-3= -2

Problem 7 :

limx-3 3xx2+1

Solution :

= limx-3 3xx2+1Applying the limit, we get= 3(-3)(-3)2+1=-99+1= -910

Problem 8 :

limx4 x-1x2+2x+3

Solution :

lim x4 x-1x2+2x+3Applying the given limit, we get= 4-142+2(4)+3= 316+8+3= 327= 19

Problem 9 :

limx-2 5x+32x-9

Solution :

= limx-2 5x+32x-9Applying the limit, we get= 5(-2)+32(-2)-9=-10+3-4-9= -7-13= 713

Problem 10 :

limx3 x2+1x

Solution :

= limx3 x2+1xApplying the limit, we get= 32+13=9+13= 103

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