Find the Value Of $\lim _ { x \rightarrow 1 } \frac { 2 x - x ^ { 2 } - 1 } { | x - 1 | }$

question 38

Essay

Find the value of $\lim _ { x \rightarrow 1 } \frac { 2 x - x ^ { 2 } - 1 } { | x - 1 | }$ , if it exists. If the limit does not exist, explain why.

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Definitions:

Yield Change

A change in the rate of return on an investment, often used in the context of bonds to indicate a change in interest rates or bond prices.

Price Decline

A decrease in the market price of an asset or security over a certain period.

Zero-Coupon Bond

A bond that does not pay periodic interest payments and is issued at a discount to its face value, which is paid at maturity.

Annual Coupon Bond

A type of bond that pays interest to the bondholder on an annual basis.