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KCET2015MathematicsContinuity and Differentiability

The value of ( (1^ )+ (89^ ) ) is

Options

  1. A( 1 (1^ ) )
  2. B( 2 (2^ ) )
  3. C( 2 (1^ ) )
  4. D( 1 (2^ ) )

Correct answer

B. ( 2 (2^ ) )

Step-by-step solution

Given that, (1^ )+ (89)^ = (1^ )+ (90^ -1^ )= 1^ + 1^ = 1^ + 1 1^ = ² 1^ +1 1^ =2 ( 1+ ² 1^ 2 1^ ) We know that 2 = 2 1+ ² So, 2 ( 1+ ² 1^ 2 1^ )= 2 2^

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