Grade 12Differential Calculus
Lt. (tanx)^tan2x
x->45
Lt. (tanx)^tan2x
x->45
3 Answers
Chetan Mandayam Nayakar
Approved Tutor Answer15 Years agofirst let x approach 45 from below: tanx <1 and tan2x→+∞,therefore left hand side limit is zero.
x approaches 45 from above: tanx >1 and tan2x→ -∞, therefore right hand side limit is zero
Therefore the answer is that the limit is zero.
sanchit sood
this is not the answer.
aakanksha uday
Approved Tutor Answer15 Years agolt. (tanx)^tan2x
x->45
= e^lt. (tan2x)(tanx-1)
x->45
now calculate the limit of lt. (tan2x)(tanx-1)
x->45
it is equals to (-1)
ans. is e^-1=1/e
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