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Use properties of limits to find the indicated limit. It may be necessary to rewrite the expression before limit properties can be applied.

limx→1
x^2+3x−4x^2−1

Respuesta :

Answer: The required value is -1.

Step-by-step explanation:

Since we have given that

[tex]\lim_{x \to 1} x^2+3x-4x^2-1[/tex]

Since , it is necessary to rewrite the expression before limit properties as there is like terms exists.

[tex]f(x)=x^2+3x-4x^2-1\\\\f(x)=-3x^2+3x-1[/tex]

So, it becomes,

[tex]\lim_{x \to 1} (-3x^2+3x-1)=-3(1)^2+3(1)-1=-3+3-1=-1[/tex]

Hence, the required value is -1.

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